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Finding the Third Proportional to 94,416.47 and 205,433.72

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Solution

The third proportional to 94,416.47 and 205,433.72 is: 446,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,416.47 : 205,433.72 = 205,433.72 : x
  2. Step 2: Convert to fraction form
    94,416.47/205,433.72 = 205,433.72/x
  3. Step 3: Cross multiply
    94,416.47x = 205,433.72 × 205,433.72
  4. Step 4: Simplify right side
    94,416.47x = 42,203,012,799.45
  5. Step 5: Solve for x
    x = 42,203,012,799.45/94,416.47
  6. Step 6: Final answer
    x = 446,987.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.