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Finding the Third Proportional to 102,177.28 and 153,300.09

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Solution

The third proportional to 102,177.28 and 153,300.09 is: 230,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177.28 : 153,300.09 = 153,300.09 : x
  2. Step 2: Convert to fraction form
    102,177.28/153,300.09 = 153,300.09/x
  3. Step 3: Cross multiply
    102,177.28x = 153,300.09 × 153,300.09
  4. Step 4: Simplify right side
    102,177.28x = 23,500,918,743.76
  5. Step 5: Solve for x
    x = 23,500,918,743.76/102,177.28
  6. Step 6: Final answer
    x = 230,001.41

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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.