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Finding the Third Proportional to 86,293,516 and 185,394,100

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Solution

The third proportional to 86,293,516 and 185,394,100 is: 398,303,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,293,516 : 185,394,100 = 185,394,100 : x
  2. Step 2: Convert to fraction form
    86,293,516/185,394,100 = 185,394,100/x
  3. Step 3: Cross multiply
    86,293,516x = 185,394,100 × 185,394,100
  4. Step 4: Simplify right side
    86,293,516x = 34,370,972,314,810,000
  5. Step 5: Solve for x
    x = 34,370,972,314,810,000/86,293,516
  6. Step 6: Final answer
    x = 398,303,069.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.