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Finding the Third Proportional to 83,194,484 and 129,828,170

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Solution

The third proportional to 83,194,484 and 129,828,170 is: 202,601,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194,484 : 129,828,170 = 129,828,170 : x
  2. Step 2: Convert to fraction form
    83,194,484/129,828,170 = 129,828,170/x
  3. Step 3: Cross multiply
    83,194,484x = 129,828,170 × 129,828,170
  4. Step 4: Simplify right side
    83,194,484x = 16,855,353,725,548,900
  5. Step 5: Solve for x
    x = 16,855,353,725,548,900/83,194,484
  6. Step 6: Final answer
    x = 202,601,818.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.