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Finding the Third Proportional to 40,084.88 and 84,695.63

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Solution

The third proportional to 40,084.88 and 84,695.63 is: 178,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084.88 : 84,695.63 = 84,695.63 : x
  2. Step 2: Convert to fraction form
    40,084.88/84,695.63 = 84,695.63/x
  3. Step 3: Cross multiply
    40,084.88x = 84,695.63 × 84,695.63
  4. Step 4: Simplify right side
    40,084.88x = 7,173,348,894.14
  5. Step 5: Solve for x
    x = 7,173,348,894.14/40,084.88
  6. Step 6: Final answer
    x = 178,954.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.