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Finding the Third Proportional to 114,982,348,164.75 and 251,603,744,892.75

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Solution

The third proportional to 114,982,348,164.75 and 251,603,744,892.75 is: 550,557,937,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982,348,164.75 : 251,603,744,892.75 = 251,603,744,892.75 : x
  2. Step 2: Convert to fraction form
    114,982,348,164.75/251,603,744,892.75 = 251,603,744,892.75/x
  3. Step 3: Cross multiply
    114,982,348,164.75x = 251,603,744,892.75 × 251,603,744,892.75
  4. Step 4: Simplify right side
    114,982,348,164.75x = 63,304,444,444,056,024,514,560
  5. Step 5: Solve for x
    x = 63,304,444,444,056,024,514,560/114,982,348,164.75
  6. Step 6: Final answer
    x = 550,557,937,409.24

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Why These Related Problems?

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