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Finding the Third Proportional to 48,655.13 and 104,809.50

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Solution

The third proportional to 48,655.13 and 104,809.50 is: 225,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,655.13 : 104,809.50 = 104,809.50 : x
  2. Step 2: Convert to fraction form
    48,655.13/104,809.50 = 104,809.50/x
  3. Step 3: Cross multiply
    48,655.13x = 104,809.50 × 104,809.50
  4. Step 4: Simplify right side
    48,655.13x = 10,985,031,290.25
  5. Step 5: Solve for x
    x = 10,985,031,290.25/48,655.13
  6. Step 6: Final answer
    x = 225,773.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.