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Finding the Third Proportional to 85,987.83 and 182,420.86

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Solution

The third proportional to 85,987.83 and 182,420.86 is: 387,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,987.83 : 182,420.86 = 182,420.86 : x
  2. Step 2: Convert to fraction form
    85,987.83/182,420.86 = 182,420.86/x
  3. Step 3: Cross multiply
    85,987.83x = 182,420.86 × 182,420.86
  4. Step 4: Simplify right side
    85,987.83x = 33,277,369,935.11
  5. Step 5: Solve for x
    x = 33,277,369,935.11/85,987.83
  6. Step 6: Final answer
    x = 387,000.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.