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Finding the Third Proportional to 144,599,342.50 and 220,287,163

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Solution

The third proportional to 144,599,342.50 and 220,287,163 is: 335,592,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,599,342.50 : 220,287,163 = 220,287,163 : x
  2. Step 2: Convert to fraction form
    144,599,342.50/220,287,163 = 220,287,163/x
  3. Step 3: Cross multiply
    144,599,342.50x = 220,287,163 × 220,287,163
  4. Step 4: Simplify right side
    144,599,342.50x = 48,526,434,182,588,568
  5. Step 5: Solve for x
    x = 48,526,434,182,588,568/144,599,342.50
  6. Step 6: Final answer
    x = 335,592,357.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.