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Finding the Third Proportional to 40,210.13 and 85,941.38

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Solution

The third proportional to 40,210.13 and 85,941.38 is: 183,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,210.13 : 85,941.38 = 85,941.38 : x
  2. Step 2: Convert to fraction form
    40,210.13/85,941.38 = 85,941.38/x
  3. Step 3: Cross multiply
    40,210.13x = 85,941.38 × 85,941.38
  4. Step 4: Simplify right side
    40,210.13x = 7,385,919,936.89
  5. Step 5: Solve for x
    x = 7,385,919,936.89/40,210.13
  6. Step 6: Final answer
    x = 183,683.09

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