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Finding the Third Proportional to 103,030.50 and 217,131

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Solution

The third proportional to 103,030.50 and 217,131 is: 457,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,030.50 : 217,131 = 217,131 : x
  2. Step 2: Convert to fraction form
    103,030.50/217,131 = 217,131/x
  3. Step 3: Cross multiply
    103,030.50x = 217,131 × 217,131
  4. Step 4: Simplify right side
    103,030.50x = 47,145,871,161
  5. Step 5: Solve for x
    x = 47,145,871,161/103,030.50
  6. Step 6: Final answer
    x = 457,591.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.