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Finding the Third Proportional to 137,306,043 and 207,235,960.31

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Solution

The third proportional to 137,306,043 and 207,235,960.31 is: 312,781,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,043 : 207,235,960.31 = 207,235,960.31 : x
  2. Step 2: Convert to fraction form
    137,306,043/207,235,960.31 = 207,235,960.31/x
  3. Step 3: Cross multiply
    137,306,043x = 207,235,960.31 × 207,235,960.31
  4. Step 4: Simplify right side
    137,306,043x = 42,946,743,246,644,072
  5. Step 5: Solve for x
    x = 42,946,743,246,644,072/137,306,043
  6. Step 6: Final answer
    x = 312,781,158.85

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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.