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Finding the Third Proportional to 100,024.50 and 217,221

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Solution

The third proportional to 100,024.50 and 217,221 is: 471,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.50 : 217,221 = 217,221 : x
  2. Step 2: Convert to fraction form
    100,024.50/217,221 = 217,221/x
  3. Step 3: Cross multiply
    100,024.50x = 217,221 × 217,221
  4. Step 4: Simplify right side
    100,024.50x = 47,184,962,841
  5. Step 5: Solve for x
    x = 47,184,962,841/100,024.50
  6. Step 6: Final answer
    x = 471,734.05

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Why These Related Problems?

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