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Finding the Third Proportional to 92,214 and 201,184.50

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Solution

The third proportional to 92,214 and 201,184.50 is: 438,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214 : 201,184.50 = 201,184.50 : x
  2. Step 2: Convert to fraction form
    92,214/201,184.50 = 201,184.50/x
  3. Step 3: Cross multiply
    92,214x = 201,184.50 × 201,184.50
  4. Step 4: Simplify right side
    92,214x = 40,475,203,040.25
  5. Step 5: Solve for x
    x = 40,475,203,040.25/92,214
  6. Step 6: Final answer
    x = 438,926.88

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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.