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Finding the Third Proportional to 104,304,296,565 and 225,936,603,180

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Solution

The third proportional to 104,304,296,565 and 225,936,603,180 is: 489,407,918,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,304,296,565 : 225,936,603,180 = 225,936,603,180 : x
  2. Step 2: Convert to fraction form
    104,304,296,565/225,936,603,180 = 225,936,603,180/x
  3. Step 3: Cross multiply
    104,304,296,565x = 225,936,603,180 × 225,936,603,180
  4. Step 4: Simplify right side
    104,304,296,565x = 51,047,348,656,516,787,863,552
  5. Step 5: Solve for x
    x = 51,047,348,656,516,787,863,552/104,304,296,565
  6. Step 6: Final answer
    x = 489,407,918,346.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.