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Finding the Third Proportional to 97,301.25 and 211,217.63

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Solution

The third proportional to 97,301.25 and 211,217.63 is: 458,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301.25 : 211,217.63 = 211,217.63 : x
  2. Step 2: Convert to fraction form
    97,301.25/211,217.63 = 211,217.63/x
  3. Step 3: Cross multiply
    97,301.25x = 211,217.63 × 211,217.63
  4. Step 4: Simplify right side
    97,301.25x = 44,612,885,110.64
  5. Step 5: Solve for x
    x = 44,612,885,110.64/97,301.25
  6. Step 6: Final answer
    x = 458,502.69

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