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Finding the Third Proportional to 83,196,536 and 185,511,832

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Solution

The third proportional to 83,196,536 and 185,511,832 is: 413,654,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196,536 : 185,511,832 = 185,511,832 : x
  2. Step 2: Convert to fraction form
    83,196,536/185,511,832 = 185,511,832/x
  3. Step 3: Cross multiply
    83,196,536x = 185,511,832 × 185,511,832
  4. Step 4: Simplify right side
    83,196,536x = 34,414,639,811,996,224
  5. Step 5: Solve for x
    x = 34,414,639,811,996,224/83,196,536
  6. Step 6: Final answer
    x = 413,654,720.10

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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.