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Finding the Third Proportional to 83,599,164 and 129,126,282

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Solution

The third proportional to 83,599,164 and 129,126,282 is: 199,446,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599,164 : 129,126,282 = 129,126,282 : x
  2. Step 2: Convert to fraction form
    83,599,164/129,126,282 = 129,126,282/x
  3. Step 3: Cross multiply
    83,599,164x = 129,126,282 × 129,126,282
  4. Step 4: Simplify right side
    83,599,164x = 16,673,596,703,143,524
  5. Step 5: Solve for x
    x = 16,673,596,703,143,524/83,599,164
  6. Step 6: Final answer
    x = 199,446,931.11

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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.