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Finding the Third Proportional to 85,669.03 and 185,638.78

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Solution

The third proportional to 85,669.03 and 185,638.78 is: 402,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,669.03 : 185,638.78 = 185,638.78 : x
  2. Step 2: Convert to fraction form
    85,669.03/185,638.78 = 185,638.78/x
  3. Step 3: Cross multiply
    85,669.03x = 185,638.78 × 185,638.78
  4. Step 4: Simplify right side
    85,669.03x = 34,461,757,103.99
  5. Step 5: Solve for x
    x = 34,461,757,103.99/85,669.03
  6. Step 6: Final answer
    x = 402,266.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.