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Finding the Third Proportional to 45,319.50 and 97,443

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Solution

The third proportional to 45,319.50 and 97,443 is: 209,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.50 : 97,443 = 97,443 : x
  2. Step 2: Convert to fraction form
    45,319.50/97,443 = 97,443/x
  3. Step 3: Cross multiply
    45,319.50x = 97,443 × 97,443
  4. Step 4: Simplify right side
    45,319.50x = 9,495,138,249
  5. Step 5: Solve for x
    x = 9,495,138,249/45,319.50
  6. Step 6: Final answer
    x = 209,515.51

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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.