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Finding the Third Proportional to 83,196,632 and 185,512,486

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Solution

The third proportional to 83,196,632 and 185,512,486 is: 413,657,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196,632 : 185,512,486 = 185,512,486 : x
  2. Step 2: Convert to fraction form
    83,196,632/185,512,486 = 185,512,486/x
  3. Step 3: Cross multiply
    83,196,632x = 185,512,486 × 185,512,486
  4. Step 4: Simplify right side
    83,196,632x = 34,414,882,461,900,196
  5. Step 5: Solve for x
    x = 34,414,882,461,900,196/83,196,632
  6. Step 6: Final answer
    x = 413,657,159.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.