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Finding the Third Proportional to 84,191,920 and 125,944,564

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Solution

The third proportional to 84,191,920 and 125,944,564 is: 188,403,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,191,920 : 125,944,564 = 125,944,564 : x
  2. Step 2: Convert to fraction form
    84,191,920/125,944,564 = 125,944,564/x
  3. Step 3: Cross multiply
    84,191,920x = 125,944,564 × 125,944,564
  4. Step 4: Simplify right side
    84,191,920x = 15,862,033,201,150,096
  5. Step 5: Solve for x
    x = 15,862,033,201,150,096/84,191,920
  6. Step 6: Final answer
    x = 188,403,271.97

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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.