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Finding the Third Proportional to 288,414,359,305.50 and 423,981,902,620.50

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Solution

The third proportional to 288,414,359,305.50 and 423,981,902,620.50 is: 623,272,205,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414,359,305.50 : 423,981,902,620.50 = 423,981,902,620.50 : x
  2. Step 2: Convert to fraction form
    288,414,359,305.50/423,981,902,620.50 = 423,981,902,620.50/x
  3. Step 3: Cross multiply
    288,414,359,305.50x = 423,981,902,620.50 × 423,981,902,620.50
  4. Step 4: Simplify right side
    288,414,359,305.50x = 179,760,653,749,699,139,862,528
  5. Step 5: Solve for x
    x = 179,760,653,749,699,139,862,528/288,414,359,305.50
  6. Step 6: Final answer
    x = 623,272,205,248.59

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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.