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Finding the Third Proportional to 84,191,574 and 125,944,139

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Solution

The third proportional to 84,191,574 and 125,944,139 is: 188,402,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,191,574 : 125,944,139 = 125,944,139 : x
  2. Step 2: Convert to fraction form
    84,191,574/125,944,139 = 125,944,139/x
  3. Step 3: Cross multiply
    84,191,574x = 125,944,139 × 125,944,139
  4. Step 4: Simplify right side
    84,191,574x = 15,861,926,148,451,320
  5. Step 5: Solve for x
    x = 15,861,926,148,451,320/84,191,574
  6. Step 6: Final answer
    x = 188,402,774.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.