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Finding the Third Proportional to 96,250.50 and 224,881.88

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Solution

The third proportional to 96,250.50 and 224,881.88 is: 525,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250.50 : 224,881.88 = 224,881.88 : x
  2. Step 2: Convert to fraction form
    96,250.50/224,881.88 = 224,881.88/x
  3. Step 3: Cross multiply
    96,250.50x = 224,881.88 × 224,881.88
  4. Step 4: Simplify right side
    96,250.50x = 50,571,857,703.52
  5. Step 5: Solve for x
    x = 50,571,857,703.52/96,250.50
  6. Step 6: Final answer
    x = 525,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.