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Finding the Third Proportional to 83,599,166 and 129,126,285

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Solution

The third proportional to 83,599,166 and 129,126,285 is: 199,446,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599,166 : 129,126,285 = 129,126,285 : x
  2. Step 2: Convert to fraction form
    83,599,166/129,126,285 = 129,126,285/x
  3. Step 3: Cross multiply
    83,599,166x = 129,126,285 × 129,126,285
  4. Step 4: Simplify right side
    83,599,166x = 16,673,597,477,901,224
  5. Step 5: Solve for x
    x = 16,673,597,477,901,224/83,599,166
  6. Step 6: Final answer
    x = 199,446,935.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.