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Finding the Third Proportional to 92,276.50 and 201,229

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Solution

The third proportional to 92,276.50 and 201,229 is: 438,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276.50 : 201,229 = 201,229 : x
  2. Step 2: Convert to fraction form
    92,276.50/201,229 = 201,229/x
  3. Step 3: Cross multiply
    92,276.50x = 201,229 × 201,229
  4. Step 4: Simplify right side
    92,276.50x = 40,493,110,441
  5. Step 5: Solve for x
    x = 40,493,110,441/92,276.50
  6. Step 6: Final answer
    x = 438,823.65

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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.