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Finding the Third Proportional to 114,982,348,179 and 251,603,744,927

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Solution

The third proportional to 114,982,348,179 and 251,603,744,927 is: 550,557,937,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982,348,179 : 251,603,744,927 = 251,603,744,927 : x
  2. Step 2: Convert to fraction form
    114,982,348,179/251,603,744,927 = 251,603,744,927/x
  3. Step 3: Cross multiply
    114,982,348,179x = 251,603,744,927 × 251,603,744,927
  4. Step 4: Simplify right side
    114,982,348,179x = 63,304,444,461,290,881,024,000
  5. Step 5: Solve for x
    x = 63,304,444,461,290,881,024,000/114,982,348,179
  6. Step 6: Final answer
    x = 550,557,937,490.90

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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.