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Finding the Third Proportional to 85,993.88 and 183,758.63

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Solution

The third proportional to 85,993.88 and 183,758.63 is: 392,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,993.88 : 183,758.63 = 183,758.63 : x
  2. Step 2: Convert to fraction form
    85,993.88/183,758.63 = 183,758.63/x
  3. Step 3: Cross multiply
    85,993.88x = 183,758.63 × 183,758.63
  4. Step 4: Simplify right side
    85,993.88x = 33,767,232,261.89
  5. Step 5: Solve for x
    x = 33,767,232,261.89/85,993.88
  6. Step 6: Final answer
    x = 392,670.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.