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Finding the Third Proportional to 97,402.78 and 145,714.78

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Solution

The third proportional to 97,402.78 and 145,714.78 is: 217,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.78 : 145,714.78 = 145,714.78 : x
  2. Step 2: Convert to fraction form
    97,402.78/145,714.78 = 145,714.78/x
  3. Step 3: Cross multiply
    97,402.78x = 145,714.78 × 145,714.78
  4. Step 4: Simplify right side
    97,402.78x = 21,232,797,474.74
  5. Step 5: Solve for x
    x = 21,232,797,474.74/97,402.78
  6. Step 6: Final answer
    x = 217,989.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.