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Finding the Third Proportional to 49,902,378.75 and 109,211,955.75

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Solution

The third proportional to 49,902,378.75 and 109,211,955.75 is: 239,011,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902,378.75 : 109,211,955.75 = 109,211,955.75 : x
  2. Step 2: Convert to fraction form
    49,902,378.75/109,211,955.75 = 109,211,955.75/x
  3. Step 3: Cross multiply
    49,902,378.75x = 109,211,955.75 × 109,211,955.75
  4. Step 4: Simplify right side
    49,902,378.75x = 11,927,251,278,739,958
  5. Step 5: Solve for x
    x = 11,927,251,278,739,958/49,902,378.75
  6. Step 6: Final answer
    x = 239,011,677.95

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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.