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Finding the Third Proportional to 114,982,348,174.50 and 251,603,744,919

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Solution

The third proportional to 114,982,348,174.50 and 251,603,744,919 is: 550,557,937,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982,348,174.50 : 251,603,744,919 = 251,603,744,919 : x
  2. Step 2: Convert to fraction form
    114,982,348,174.50/251,603,744,919 = 251,603,744,919/x
  3. Step 3: Cross multiply
    114,982,348,174.50x = 251,603,744,919 × 251,603,744,919
  4. Step 4: Simplify right side
    114,982,348,174.50x = 63,304,444,457,265,221,599,232
  5. Step 5: Solve for x
    x = 63,304,444,457,265,221,599,232/114,982,348,174.50
  6. Step 6: Final answer
    x = 550,557,937,477.44

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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.