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Finding the Third Proportional to 86,197,900 and 133,838,672

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Solution

The third proportional to 86,197,900 and 133,838,672 is: 207,810,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197,900 : 133,838,672 = 133,838,672 : x
  2. Step 2: Convert to fraction form
    86,197,900/133,838,672 = 133,838,672/x
  3. Step 3: Cross multiply
    86,197,900x = 133,838,672 × 133,838,672
  4. Step 4: Simplify right side
    86,197,900x = 17,912,790,122,723,584
  5. Step 5: Solve for x
    x = 17,912,790,122,723,584/86,197,900
  6. Step 6: Final answer
    x = 207,810,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.