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Finding the Third Proportional to 137,306,022.50 and 207,235,930.50

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Solution

The third proportional to 137,306,022.50 and 207,235,930.50 is: 312,781,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,022.50 : 207,235,930.50 = 207,235,930.50 : x
  2. Step 2: Convert to fraction form
    137,306,022.50/207,235,930.50 = 207,235,930.50/x
  3. Step 3: Cross multiply
    137,306,022.50x = 207,235,930.50 × 207,235,930.50
  4. Step 4: Simplify right side
    137,306,022.50x = 42,946,730,890,200,832
  5. Step 5: Solve for x
    x = 42,946,730,890,200,832/137,306,022.50
  6. Step 6: Final answer
    x = 312,781,115.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.