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Finding the Third Proportional to 108,865.13 and 163,297.69

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Solution

The third proportional to 108,865.13 and 163,297.69 is: 244,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,865.13 : 163,297.69 = 163,297.69 : x
  2. Step 2: Convert to fraction form
    108,865.13/163,297.69 = 163,297.69/x
  3. Step 3: Cross multiply
    108,865.13x = 163,297.69 × 163,297.69
  4. Step 4: Simplify right side
    108,865.13x = 26,666,134,742.85
  5. Step 5: Solve for x
    x = 26,666,134,742.85/108,865.13
  6. Step 6: Final answer
    x = 244,946.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.