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Finding the Third Proportional to 61,508,218.50 and 135,294,741

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Solution

The third proportional to 61,508,218.50 and 135,294,741 is: 297,597,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,508,218.50 : 135,294,741 = 135,294,741 : x
  2. Step 2: Convert to fraction form
    61,508,218.50/135,294,741 = 135,294,741/x
  3. Step 3: Cross multiply
    61,508,218.50x = 135,294,741 × 135,294,741
  4. Step 4: Simplify right side
    61,508,218.50x = 18,304,666,942,257,080
  5. Step 5: Solve for x
    x = 18,304,666,942,257,080/61,508,218.50
  6. Step 6: Final answer
    x = 297,597,091.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.