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Finding the Third Proportional to 97,209 and 231,844.50

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Solution

The third proportional to 97,209 and 231,844.50 is: 552,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,209 : 231,844.50 = 231,844.50 : x
  2. Step 2: Convert to fraction form
    97,209/231,844.50 = 231,844.50/x
  3. Step 3: Cross multiply
    97,209x = 231,844.50 × 231,844.50
  4. Step 4: Simplify right side
    97,209x = 53,751,872,180.25
  5. Step 5: Solve for x
    x = 53,751,872,180.25/97,209
  6. Step 6: Final answer
    x = 552,951.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.