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Finding the Third Proportional to 89,152,723.13 and 194,132,682

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Solution

The third proportional to 89,152,723.13 and 194,132,682 is: 422,729,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,152,723.13 : 194,132,682 = 194,132,682 : x
  2. Step 2: Convert to fraction form
    89,152,723.13/194,132,682 = 194,132,682/x
  3. Step 3: Cross multiply
    89,152,723.13x = 194,132,682 × 194,132,682
  4. Step 4: Simplify right side
    89,152,723.13x = 37,687,498,220,513,120
  5. Step 5: Solve for x
    x = 37,687,498,220,513,120/89,152,723.13
  6. Step 6: Final answer
    x = 422,729,636.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.