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Finding the Third Proportional to 89,116.66 and 198,158.25

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Solution

The third proportional to 89,116.66 and 198,158.25 is: 440,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,116.66 : 198,158.25 = 198,158.25 : x
  2. Step 2: Convert to fraction form
    89,116.66/198,158.25 = 198,158.25/x
  3. Step 3: Cross multiply
    89,116.66x = 198,158.25 × 198,158.25
  4. Step 4: Simplify right side
    89,116.66x = 39,266,692,043.06
  5. Step 5: Solve for x
    x = 39,266,692,043.06/89,116.66
  6. Step 6: Final answer
    x = 440,621.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.