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Finding the Third Proportional to 91,642.50 and 201,924

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Solution

The third proportional to 91,642.50 and 201,924 is: 444,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,642.50 : 201,924 = 201,924 : x
  2. Step 2: Convert to fraction form
    91,642.50/201,924 = 201,924/x
  3. Step 3: Cross multiply
    91,642.50x = 201,924 × 201,924
  4. Step 4: Simplify right side
    91,642.50x = 40,773,301,776
  5. Step 5: Solve for x
    x = 40,773,301,776/91,642.50
  6. Step 6: Final answer
    x = 444,916.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.