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Finding the Third Proportional to 114,982,348,159.97 and 251,603,744,882.62

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Solution

The third proportional to 114,982,348,159.97 and 251,603,744,882.62 is: 550,557,937,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982,348,159.97 : 251,603,744,882.62 = 251,603,744,882.62 : x
  2. Step 2: Convert to fraction form
    114,982,348,159.97/251,603,744,882.62 = 251,603,744,882.62/x
  3. Step 3: Cross multiply
    114,982,348,159.97x = 251,603,744,882.62 × 251,603,744,882.62
  4. Step 4: Simplify right side
    114,982,348,159.97x = 63,304,444,438,958,527,479,808
  5. Step 5: Solve for x
    x = 63,304,444,438,958,527,479,808/114,982,348,159.97
  6. Step 6: Final answer
    x = 550,557,937,387.80

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