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Finding the Third Proportional to 61,712,157 and 132,711,772.50

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Solution

The third proportional to 61,712,157 and 132,711,772.50 is: 285,396,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712,157 : 132,711,772.50 = 132,711,772.50 : x
  2. Step 2: Convert to fraction form
    61,712,157/132,711,772.50 = 132,711,772.50/x
  3. Step 3: Cross multiply
    61,712,157x = 132,711,772.50 × 132,711,772.50
  4. Step 4: Simplify right side
    61,712,157x = 17,612,414,560,091,756
  5. Step 5: Solve for x
    x = 17,612,414,560,091,756/61,712,157
  6. Step 6: Final answer
    x = 285,396,191.23

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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.