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Finding the Third Proportional to 101,329,863 and 205,479,364.50

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Solution

The third proportional to 101,329,863 and 205,479,364.50 is: 416,676,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,329,863 : 205,479,364.50 = 205,479,364.50 : x
  2. Step 2: Convert to fraction form
    101,329,863/205,479,364.50 = 205,479,364.50/x
  3. Step 3: Cross multiply
    101,329,863x = 205,479,364.50 × 205,479,364.50
  4. Step 4: Simplify right side
    101,329,863x = 42,221,769,235,323,864
  5. Step 5: Solve for x
    x = 42,221,769,235,323,864/101,329,863
  6. Step 6: Final answer
    x = 416,676,466.20

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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.