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Finding the Third Proportional to 123,371,677.13 and 270,958,524.47

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Solution

The third proportional to 123,371,677.13 and 270,958,524.47 is: 595,100,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,371,677.13 : 270,958,524.47 = 270,958,524.47 : x
  2. Step 2: Convert to fraction form
    123,371,677.13/270,958,524.47 = 270,958,524.47/x
  3. Step 3: Cross multiply
    123,371,677.13x = 270,958,524.47 × 270,958,524.47
  4. Step 4: Simplify right side
    123,371,677.13x = 73,418,521,982,282,192
  5. Step 5: Solve for x
    x = 73,418,521,982,282,192/123,371,677.13
  6. Step 6: Final answer
    x = 595,100,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.