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Finding the Third Proportional to 98,877.94 and 204,765.47

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Solution

The third proportional to 98,877.94 and 204,765.47 is: 424,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,877.94 : 204,765.47 = 204,765.47 : x
  2. Step 2: Convert to fraction form
    98,877.94/204,765.47 = 204,765.47/x
  3. Step 3: Cross multiply
    98,877.94x = 204,765.47 × 204,765.47
  4. Step 4: Simplify right side
    98,877.94x = 41,928,897,192.41
  5. Step 5: Solve for x
    x = 41,928,897,192.41/98,877.94
  6. Step 6: Final answer
    x = 424,047.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.