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Finding the Third Proportional to 52,648,860 and 117,396,291

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Solution

The third proportional to 52,648,860 and 117,396,291 is: 261,769,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648,860 : 117,396,291 = 117,396,291 : x
  2. Step 2: Convert to fraction form
    52,648,860/117,396,291 = 117,396,291/x
  3. Step 3: Cross multiply
    52,648,860x = 117,396,291 × 117,396,291
  4. Step 4: Simplify right side
    52,648,860x = 13,781,889,140,556,680
  5. Step 5: Solve for x
    x = 13,781,889,140,556,680/52,648,860
  6. Step 6: Final answer
    x = 261,769,944.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.