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Finding the Third Proportional to 49,902,148.50 and 109,211,406

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Solution

The third proportional to 49,902,148.50 and 109,211,406 is: 239,010,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902,148.50 : 109,211,406 = 109,211,406 : x
  2. Step 2: Convert to fraction form
    49,902,148.50/109,211,406 = 109,211,406/x
  3. Step 3: Cross multiply
    49,902,148.50x = 109,211,406 × 109,211,406
  4. Step 4: Simplify right side
    49,902,148.50x = 11,927,131,200,496,836
  5. Step 5: Solve for x
    x = 11,927,131,200,496,836/49,902,148.50
  6. Step 6: Final answer
    x = 239,010,374.48

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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.