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Finding the Third Proportional to 49,519,065 and 108,604,057.50

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Solution

The third proportional to 49,519,065 and 108,604,057.50 is: 238,187,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,519,065 : 108,604,057.50 = 108,604,057.50 : x
  2. Step 2: Convert to fraction form
    49,519,065/108,604,057.50 = 108,604,057.50/x
  3. Step 3: Cross multiply
    49,519,065x = 108,604,057.50 × 108,604,057.50
  4. Step 4: Simplify right side
    49,519,065x = 11,794,841,305,463,306
  5. Step 5: Solve for x
    x = 11,794,841,305,463,306/49,519,065
  6. Step 6: Final answer
    x = 238,187,883.91

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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.