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Finding the Third Proportional to 98,749.13 and 148,996.13

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Solution

The third proportional to 98,749.13 and 148,996.13 is: 224,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,749.13 : 148,996.13 = 148,996.13 : x
  2. Step 2: Convert to fraction form
    98,749.13/148,996.13 = 148,996.13/x
  3. Step 3: Cross multiply
    98,749.13x = 148,996.13 × 148,996.13
  4. Step 4: Simplify right side
    98,749.13x = 22,199,845,265.02
  5. Step 5: Solve for x
    x = 22,199,845,265.02/98,749.13
  6. Step 6: Final answer
    x = 224,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.