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Finding the Third Proportional to 85,664.25 and 197,434.13

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Solution

The third proportional to 85,664.25 and 197,434.13 is: 455,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,664.25 : 197,434.13 = 197,434.13 : x
  2. Step 2: Convert to fraction form
    85,664.25/197,434.13 = 197,434.13/x
  3. Step 3: Cross multiply
    85,664.25x = 197,434.13 × 197,434.13
  4. Step 4: Simplify right side
    85,664.25x = 38,980,233,714.52
  5. Step 5: Solve for x
    x = 38,980,233,714.52/85,664.25
  6. Step 6: Final answer
    x = 455,035.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.