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Finding the Third Proportional to 138,864,390.19 and 189,139,780.69

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Solution

The third proportional to 138,864,390.19 and 189,139,780.69 is: 257,617,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864,390.19 : 189,139,780.69 = 189,139,780.69 : x
  2. Step 2: Convert to fraction form
    138,864,390.19/189,139,780.69 = 189,139,780.69/x
  3. Step 3: Cross multiply
    138,864,390.19x = 189,139,780.69 × 189,139,780.69
  4. Step 4: Simplify right side
    138,864,390.19x = 35,773,856,638,515,596
  5. Step 5: Solve for x
    x = 35,773,856,638,515,596/138,864,390.19
  6. Step 6: Final answer
    x = 257,617,209.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.