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Finding the Third Proportional to 92,210 and 202,276

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Solution

The third proportional to 92,210 and 202,276 is: 443,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,210 : 202,276 = 202,276 : x
  2. Step 2: Convert to fraction form
    92,210/202,276 = 202,276/x
  3. Step 3: Cross multiply
    92,210x = 202,276 × 202,276
  4. Step 4: Simplify right side
    92,210x = 40,915,580,176
  5. Step 5: Solve for x
    x = 40,915,580,176/92,210
  6. Step 6: Final answer
    x = 443,721.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.