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Finding the Third Proportional to 137,306,094.19 and 207,236,011.78

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Solution

The third proportional to 137,306,094.19 and 207,236,011.78 is: 312,781,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,094.19 : 207,236,011.78 = 207,236,011.78 : x
  2. Step 2: Convert to fraction form
    137,306,094.19/207,236,011.78 = 207,236,011.78/x
  3. Step 3: Cross multiply
    137,306,094.19x = 207,236,011.78 × 207,236,011.78
  4. Step 4: Simplify right side
    137,306,094.19x = 42,946,764,578,998,392
  5. Step 5: Solve for x
    x = 42,946,764,578,998,392/137,306,094.19
  6. Step 6: Final answer
    x = 312,781,197.61

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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.