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Finding the Third Proportional to 100,903,840 and 220,651,952

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Solution

The third proportional to 100,903,840 and 220,651,952 is: 482,511,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,903,840 : 220,651,952 = 220,651,952 : x
  2. Step 2: Convert to fraction form
    100,903,840/220,651,952 = 220,651,952/x
  3. Step 3: Cross multiply
    100,903,840x = 220,651,952 × 220,651,952
  4. Step 4: Simplify right side
    100,903,840x = 48,687,283,921,410,304
  5. Step 5: Solve for x
    x = 48,687,283,921,410,304/100,903,840
  6. Step 6: Final answer
    x = 482,511,705.42

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Why These Related Problems?

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