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Finding the Third Proportional to 91,363 and 203,487

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Solution

The third proportional to 91,363 and 203,487 is: 453,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,363 : 203,487 = 203,487 : x
  2. Step 2: Convert to fraction form
    91,363/203,487 = 203,487/x
  3. Step 3: Cross multiply
    91,363x = 203,487 × 203,487
  4. Step 4: Simplify right side
    91,363x = 41,406,959,169
  5. Step 5: Solve for x
    x = 41,406,959,169/91,363
  6. Step 6: Final answer
    x = 453,213.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.