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Finding the Third Proportional to 92,681 and 202,353

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Solution

The third proportional to 92,681 and 202,353 is: 441,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,681 : 202,353 = 202,353 : x
  2. Step 2: Convert to fraction form
    92,681/202,353 = 202,353/x
  3. Step 3: Cross multiply
    92,681x = 202,353 × 202,353
  4. Step 4: Simplify right side
    92,681x = 40,946,736,609
  5. Step 5: Solve for x
    x = 40,946,736,609/92,681
  6. Step 6: Final answer
    x = 441,802.92

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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.