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Finding the Third Proportional to 98,663.06 and 153,763.31

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Solution

The third proportional to 98,663.06 and 153,763.31 is: 239,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,663.06 : 153,763.31 = 153,763.31 : x
  2. Step 2: Convert to fraction form
    98,663.06/153,763.31 = 153,763.31/x
  3. Step 3: Cross multiply
    98,663.06x = 153,763.31 × 153,763.31
  4. Step 4: Simplify right side
    98,663.06x = 23,643,156,270.97
  5. Step 5: Solve for x
    x = 23,643,156,270.97/98,663.06
  6. Step 6: Final answer
    x = 239,635.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.