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Finding the Third Proportional to 97,178 and 209,668

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Solution

The third proportional to 97,178 and 209,668 is: 452,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,178 : 209,668 = 209,668 : x
  2. Step 2: Convert to fraction form
    97,178/209,668 = 209,668/x
  3. Step 3: Cross multiply
    97,178x = 209,668 × 209,668
  4. Step 4: Simplify right side
    97,178x = 43,960,670,224
  5. Step 5: Solve for x
    x = 43,960,670,224/97,178
  6. Step 6: Final answer
    x = 452,372.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.