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Finding the Third Proportional to 96,750.50 and 227,657

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Solution

The third proportional to 96,750.50 and 227,657 is: 535,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,750.50 : 227,657 = 227,657 : x
  2. Step 2: Convert to fraction form
    96,750.50/227,657 = 227,657/x
  3. Step 3: Cross multiply
    96,750.50x = 227,657 × 227,657
  4. Step 4: Simplify right side
    96,750.50x = 51,827,709,649
  5. Step 5: Solve for x
    x = 51,827,709,649/96,750.50
  6. Step 6: Final answer
    x = 535,684.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.