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Finding the Third Proportional to 100,649,188.50 and 220,138,654.50

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Solution

The third proportional to 100,649,188.50 and 220,138,654.50 is: 481,484,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649,188.50 : 220,138,654.50 = 220,138,654.50 : x
  2. Step 2: Convert to fraction form
    100,649,188.50/220,138,654.50 = 220,138,654.50/x
  3. Step 3: Cross multiply
    100,649,188.50x = 220,138,654.50 × 220,138,654.50
  4. Step 4: Simplify right side
    100,649,188.50x = 48,461,027,205,070,368
  5. Step 5: Solve for x
    x = 48,461,027,205,070,368/100,649,188.50
  6. Step 6: Final answer
    x = 481,484,529.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.