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Finding the Third Proportional to 288,414,359,549 and 423,981,902,943.50

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Solution

The third proportional to 288,414,359,549 and 423,981,902,943.50 is: 623,272,205,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414,359,549 : 423,981,902,943.50 = 423,981,902,943.50 : x
  2. Step 2: Convert to fraction form
    288,414,359,549/423,981,902,943.50 = 423,981,902,943.50/x
  3. Step 3: Cross multiply
    288,414,359,549x = 423,981,902,943.50 × 423,981,902,943.50
  4. Step 4: Simplify right side
    288,414,359,549x = 179,760,654,023,591,452,475,392
  5. Step 5: Solve for x
    x = 179,760,654,023,591,452,475,392/288,414,359,549
  6. Step 6: Final answer
    x = 623,272,205,672.03

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