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Finding the Third Proportional to 101,329,872 and 205,479,382.50

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Solution

The third proportional to 101,329,872 and 205,479,382.50 is: 416,676,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,329,872 : 205,479,382.50 = 205,479,382.50 : x
  2. Step 2: Convert to fraction form
    101,329,872/205,479,382.50 = 205,479,382.50/x
  3. Step 3: Cross multiply
    101,329,872x = 205,479,382.50 × 205,479,382.50
  4. Step 4: Simplify right side
    101,329,872x = 42,221,776,632,581,304
  5. Step 5: Solve for x
    x = 42,221,776,632,581,304/101,329,872
  6. Step 6: Final answer
    x = 416,676,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.