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Finding the Third Proportional to 288,414,359,308.50 and 423,981,902,625

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Solution

The third proportional to 288,414,359,308.50 and 423,981,902,625 is: 623,272,205,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414,359,308.50 : 423,981,902,625 = 423,981,902,625 : x
  2. Step 2: Convert to fraction form
    288,414,359,308.50/423,981,902,625 = 423,981,902,625/x
  3. Step 3: Cross multiply
    288,414,359,308.50x = 423,981,902,625 × 423,981,902,625
  4. Step 4: Simplify right side
    288,414,359,308.50x = 179,760,653,753,514,983,424,000
  5. Step 5: Solve for x
    x = 179,760,653,753,514,983,424,000/288,414,359,308.50
  6. Step 6: Final answer
    x = 623,272,205,255.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.