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Finding the Third Proportional to 97,044.75 and 212,080.78

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Solution

The third proportional to 97,044.75 and 212,080.78 is: 463,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,044.75 : 212,080.78 = 212,080.78 : x
  2. Step 2: Convert to fraction form
    97,044.75/212,080.78 = 212,080.78/x
  3. Step 3: Cross multiply
    97,044.75x = 212,080.78 × 212,080.78
  4. Step 4: Simplify right side
    97,044.75x = 44,978,257,775.61
  5. Step 5: Solve for x
    x = 44,978,257,775.61/97,044.75
  6. Step 6: Final answer
    x = 463,479.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.