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Finding the Third Proportional to 85,648.75 and 184,420.63

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Solution

The third proportional to 85,648.75 and 184,420.63 is: 397,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648.75 : 184,420.63 = 184,420.63 : x
  2. Step 2: Convert to fraction form
    85,648.75/184,420.63 = 184,420.63/x
  3. Step 3: Cross multiply
    85,648.75x = 184,420.63 × 184,420.63
  4. Step 4: Simplify right side
    85,648.75x = 34,010,966,925.39
  5. Step 5: Solve for x
    x = 34,010,966,925.39/85,648.75
  6. Step 6: Final answer
    x = 397,098.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.