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Finding the Third Proportional to 145,162.13 and 213,471.70

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Solution

The third proportional to 145,162.13 and 213,471.70 is: 313,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.13 : 213,471.70 = 213,471.70 : x
  2. Step 2: Convert to fraction form
    145,162.13/213,471.70 = 213,471.70/x
  3. Step 3: Cross multiply
    145,162.13x = 213,471.70 × 213,471.70
  4. Step 4: Simplify right side
    145,162.13x = 45,570,168,035.09
  5. Step 5: Solve for x
    x = 45,570,168,035.09/145,162.13
  6. Step 6: Final answer
    x = 313,926.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.