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Finding the Third Proportional to 98,506.13 and 153,355.78

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Solution

The third proportional to 98,506.13 and 153,355.78 is: 238,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506.13 : 153,355.78 = 153,355.78 : x
  2. Step 2: Convert to fraction form
    98,506.13/153,355.78 = 153,355.78/x
  3. Step 3: Cross multiply
    98,506.13x = 153,355.78 × 153,355.78
  4. Step 4: Simplify right side
    98,506.13x = 23,517,995,642.80
  5. Step 5: Solve for x
    x = 23,517,995,642.80/98,506.13
  6. Step 6: Final answer
    x = 238,746.53

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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.