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Finding the Third Proportional to 132,217,776 and 287,848,512

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Solution

The third proportional to 132,217,776 and 287,848,512 is: 626,668,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217,776 : 287,848,512 = 287,848,512 : x
  2. Step 2: Convert to fraction form
    132,217,776/287,848,512 = 287,848,512/x
  3. Step 3: Cross multiply
    132,217,776x = 287,848,512 × 287,848,512
  4. Step 4: Simplify right side
    132,217,776x = 82,856,765,860,614,144
  5. Step 5: Solve for x
    x = 82,856,765,860,614,144/132,217,776
  6. Step 6: Final answer
    x = 626,668,881.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.