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Finding the Third Proportional to 83,215,416 and 110,447,244

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Solution

The third proportional to 83,215,416 and 110,447,244 is: 146,590,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215,416 : 110,447,244 = 110,447,244 : x
  2. Step 2: Convert to fraction form
    83,215,416/110,447,244 = 110,447,244/x
  3. Step 3: Cross multiply
    83,215,416x = 110,447,244 × 110,447,244
  4. Step 4: Simplify right side
    83,215,416x = 12,198,593,707,195,536
  5. Step 5: Solve for x
    x = 12,198,593,707,195,536/83,215,416
  6. Step 6: Final answer
    x = 146,590,551.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.