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Finding the Third Proportional to 92,136.38 and 200,948.63

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Solution

The third proportional to 92,136.38 and 200,948.63 is: 438,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,136.38 : 200,948.63 = 200,948.63 : x
  2. Step 2: Convert to fraction form
    92,136.38/200,948.63 = 200,948.63/x
  3. Step 3: Cross multiply
    92,136.38x = 200,948.63 × 200,948.63
  4. Step 4: Simplify right side
    92,136.38x = 40,380,349,889.39
  5. Step 5: Solve for x
    x = 40,380,349,889.39/92,136.38
  6. Step 6: Final answer
    x = 438,267.19

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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.