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Finding the Third Proportional to 131,638,664 and 283,506,592

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Solution

The third proportional to 131,638,664 and 283,506,592 is: 610,580,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,638,664 : 283,506,592 = 283,506,592 : x
  2. Step 2: Convert to fraction form
    131,638,664/283,506,592 = 283,506,592/x
  3. Step 3: Cross multiply
    131,638,664x = 283,506,592 × 283,506,592
  4. Step 4: Simplify right side
    131,638,664x = 80,375,987,707,454,464
  5. Step 5: Solve for x
    x = 80,375,987,707,454,464/131,638,664
  6. Step 6: Final answer
    x = 610,580,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.