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Finding the Third Proportional to 137,306,109 and 207,236,037

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Solution

The third proportional to 137,306,109 and 207,236,037 is: 312,781,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,109 : 207,236,037 = 207,236,037 : x
  2. Step 2: Convert to fraction form
    137,306,109/207,236,037 = 207,236,037/x
  3. Step 3: Cross multiply
    137,306,109x = 207,236,037 × 207,236,037
  4. Step 4: Simplify right side
    137,306,109x = 42,946,775,031,465,368
  5. Step 5: Solve for x
    x = 42,946,775,031,465,368/137,306,109
  6. Step 6: Final answer
    x = 312,781,239.99

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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.