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Finding the Third Proportional to 54,882,507.75 and 108,376,999.13

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Solution

The third proportional to 54,882,507.75 and 108,376,999.13 is: 214,013,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882,507.75 : 108,376,999.13 = 108,376,999.13 : x
  2. Step 2: Convert to fraction form
    54,882,507.75/108,376,999.13 = 108,376,999.13/x
  3. Step 3: Cross multiply
    54,882,507.75x = 108,376,999.13 × 108,376,999.13
  4. Step 4: Simplify right side
    54,882,507.75x = 11,745,573,939,340,250
  5. Step 5: Solve for x
    x = 11,745,573,939,340,250/54,882,507.75
  6. Step 6: Final answer
    x = 214,013,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.