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Finding the Third Proportional to 120,743,745 and 188,290,070

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Solution

The third proportional to 120,743,745 and 188,290,070 is: 293,623,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,745 : 188,290,070 = 188,290,070 : x
  2. Step 2: Convert to fraction form
    120,743,745/188,290,070 = 188,290,070/x
  3. Step 3: Cross multiply
    120,743,745x = 188,290,070 × 188,290,070
  4. Step 4: Simplify right side
    120,743,745x = 35,453,150,460,604,900
  5. Step 5: Solve for x
    x = 35,453,150,460,604,900/120,743,745
  6. Step 6: Final answer
    x = 293,623,081.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.