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Finding the Third Proportional to 91,767 and 201,583.50

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Solution

The third proportional to 91,767 and 201,583.50 is: 442,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,767 : 201,583.50 = 201,583.50 : x
  2. Step 2: Convert to fraction form
    91,767/201,583.50 = 201,583.50/x
  3. Step 3: Cross multiply
    91,767x = 201,583.50 × 201,583.50
  4. Step 4: Simplify right side
    91,767x = 40,635,907,472.25
  5. Step 5: Solve for x
    x = 40,635,907,472.25/91,767
  6. Step 6: Final answer
    x = 442,816.13

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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.