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Finding the Third Proportional to 97,423 and 208,863

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Solution

The third proportional to 97,423 and 208,863 is: 447,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423 : 208,863 = 208,863 : x
  2. Step 2: Convert to fraction form
    97,423/208,863 = 208,863/x
  3. Step 3: Cross multiply
    97,423x = 208,863 × 208,863
  4. Step 4: Simplify right side
    97,423x = 43,623,752,769
  5. Step 5: Solve for x
    x = 43,623,752,769/97,423
  6. Step 6: Final answer
    x = 447,776.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.