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Finding the Third Proportional to 89,822.81 and 195,592.36

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Solution

The third proportional to 89,822.81 and 195,592.36 is: 425,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.81 : 195,592.36 = 195,592.36 : x
  2. Step 2: Convert to fraction form
    89,822.81/195,592.36 = 195,592.36/x
  3. Step 3: Cross multiply
    89,822.81x = 195,592.36 × 195,592.36
  4. Step 4: Simplify right side
    89,822.81x = 38,256,371,045.88
  5. Step 5: Solve for x
    x = 38,256,371,045.88/89,822.81
  6. Step 6: Final answer
    x = 425,909.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.