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Finding the Third Proportional to 96,924,735 and 145,458,059

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Solution

The third proportional to 96,924,735 and 145,458,059 is: 218,293,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,924,735 : 145,458,059 = 145,458,059 : x
  2. Step 2: Convert to fraction form
    96,924,735/145,458,059 = 145,458,059/x
  3. Step 3: Cross multiply
    96,924,735x = 145,458,059 × 145,458,059
  4. Step 4: Simplify right side
    96,924,735x = 21,158,046,928,047,480
  5. Step 5: Solve for x
    x = 21,158,046,928,047,480/96,924,735
  6. Step 6: Final answer
    x = 218,293,575.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.