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Finding the Third Proportional to 104,304,296,567 and 225,936,603,184

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Solution

The third proportional to 104,304,296,567 and 225,936,603,184 is: 489,407,918,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,304,296,567 : 225,936,603,184 = 225,936,603,184 : x
  2. Step 2: Convert to fraction form
    104,304,296,567/225,936,603,184 = 225,936,603,184/x
  3. Step 3: Cross multiply
    104,304,296,567x = 225,936,603,184 × 225,936,603,184
  4. Step 4: Simplify right side
    104,304,296,567x = 51,047,348,658,324,281,229,312
  5. Step 5: Solve for x
    x = 51,047,348,658,324,281,229,312/104,304,296,567
  6. Step 6: Final answer
    x = 489,407,918,354.87

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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.