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Finding the Third Proportional to 97,532 and 209,613

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Solution

The third proportional to 97,532 and 209,613 is: 450,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,532 : 209,613 = 209,613 : x
  2. Step 2: Convert to fraction form
    97,532/209,613 = 209,613/x
  3. Step 3: Cross multiply
    97,532x = 209,613 × 209,613
  4. Step 4: Simplify right side
    97,532x = 43,937,609,769
  5. Step 5: Solve for x
    x = 43,937,609,769/97,532
  6. Step 6: Final answer
    x = 450,494.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.