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Finding the Third Proportional to 141,443,712 and 304,651,584

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Solution

The third proportional to 141,443,712 and 304,651,584 is: 656,180,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,443,712 : 304,651,584 = 304,651,584 : x
  2. Step 2: Convert to fraction form
    141,443,712/304,651,584 = 304,651,584/x
  3. Step 3: Cross multiply
    141,443,712x = 304,651,584 × 304,651,584
  4. Step 4: Simplify right side
    141,443,712x = 92,812,587,633,709,056
  5. Step 5: Solve for x
    x = 92,812,587,633,709,056/141,443,712
  6. Step 6: Final answer
    x = 656,180,372.54

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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.