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Finding the Third Proportional to 75,730,534 and 165,876,404

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Solution

The third proportional to 75,730,534 and 165,876,404 is: 363,327,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730,534 : 165,876,404 = 165,876,404 : x
  2. Step 2: Convert to fraction form
    75,730,534/165,876,404 = 165,876,404/x
  3. Step 3: Cross multiply
    75,730,534x = 165,876,404 × 165,876,404
  4. Step 4: Simplify right side
    75,730,534x = 27,514,981,403,971,216
  5. Step 5: Solve for x
    x = 27,514,981,403,971,216/75,730,534
  6. Step 6: Final answer
    x = 363,327,444.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.