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Finding the Third Proportional to 47,695,645.13 and 104,797,243.13

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Solution

The third proportional to 47,695,645.13 and 104,797,243.13 is: 230,261,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695,645.13 : 104,797,243.13 = 104,797,243.13 : x
  2. Step 2: Convert to fraction form
    47,695,645.13/104,797,243.13 = 104,797,243.13/x
  3. Step 3: Cross multiply
    47,695,645.13x = 104,797,243.13 × 104,797,243.13
  4. Step 4: Simplify right side
    47,695,645.13x = 10,982,462,166,600,360
  5. Step 5: Solve for x
    x = 10,982,462,166,600,360/47,695,645.13
  6. Step 6: Final answer
    x = 230,261,319.20

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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.