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Finding the Third Proportional to 96,387 and 208,865

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Solution

The third proportional to 96,387 and 208,865 is: 452,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,387 : 208,865 = 208,865 : x
  2. Step 2: Convert to fraction form
    96,387/208,865 = 208,865/x
  3. Step 3: Cross multiply
    96,387x = 208,865 × 208,865
  4. Step 4: Simplify right side
    96,387x = 43,624,588,225
  5. Step 5: Solve for x
    x = 43,624,588,225/96,387
  6. Step 6: Final answer
    x = 452,598.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.