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Finding the Third Proportional to 49,581,666.75 and 107,943,193.50

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Solution

The third proportional to 49,581,666.75 and 107,943,193.50 is: 235,000,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581,666.75 : 107,943,193.50 = 107,943,193.50 : x
  2. Step 2: Convert to fraction form
    49,581,666.75/107,943,193.50 = 107,943,193.50/x
  3. Step 3: Cross multiply
    49,581,666.75x = 107,943,193.50 × 107,943,193.50
  4. Step 4: Simplify right side
    49,581,666.75x = 11,651,733,022,978,442
  5. Step 5: Solve for x
    x = 11,651,733,022,978,442/49,581,666.75
  6. Step 6: Final answer
    x = 235,000,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.