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Finding the Third Proportional to 40,465 and 88,960.25

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Solution

The third proportional to 40,465 and 88,960.25 is: 195,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465 : 88,960.25 = 88,960.25 : x
  2. Step 2: Convert to fraction form
    40,465/88,960.25 = 88,960.25/x
  3. Step 3: Cross multiply
    40,465x = 88,960.25 × 88,960.25
  4. Step 4: Simplify right side
    40,465x = 7,913,926,080.06
  5. Step 5: Solve for x
    x = 7,913,926,080.06/40,465
  6. Step 6: Final answer
    x = 195,574.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.