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Finding the Third Proportional to 83,770,608,828.75 and 117,546,747,394.12

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Solution

The third proportional to 83,770,608,828.75 and 117,546,747,394.12 is: 164,941,356,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770,608,828.75 : 117,546,747,394.12 = 117,546,747,394.12 : x
  2. Step 2: Convert to fraction form
    83,770,608,828.75/117,546,747,394.12 = 117,546,747,394.12/x
  3. Step 3: Cross multiply
    83,770,608,828.75x = 117,546,747,394.12 × 117,546,747,394.12
  4. Step 4: Simplify right side
    83,770,608,828.75x = 13,817,237,822,937,055,100,928
  5. Step 5: Solve for x
    x = 13,817,237,822,937,055,100,928/83,770,608,828.75
  6. Step 6: Final answer
    x = 164,941,356,116.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.