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Finding the Third Proportional to 119,652,874 and 260,270,170

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Solution

The third proportional to 119,652,874 and 260,270,170 is: 566,142,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,874 : 260,270,170 = 260,270,170 : x
  2. Step 2: Convert to fraction form
    119,652,874/260,270,170 = 260,270,170/x
  3. Step 3: Cross multiply
    119,652,874x = 260,270,170 × 260,270,170
  4. Step 4: Simplify right side
    119,652,874x = 67,740,561,391,828,896
  5. Step 5: Solve for x
    x = 67,740,561,391,828,896/119,652,874
  6. Step 6: Final answer
    x = 566,142,367.73

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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.