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Finding the Third Proportional to 95,914.13 and 153,226.69

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Solution

The third proportional to 95,914.13 and 153,226.69 is: 244,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,914.13 : 153,226.69 = 153,226.69 : x
  2. Step 2: Convert to fraction form
    95,914.13/153,226.69 = 153,226.69/x
  3. Step 3: Cross multiply
    95,914.13x = 153,226.69 × 153,226.69
  4. Step 4: Simplify right side
    95,914.13x = 23,478,417,762.22
  5. Step 5: Solve for x
    x = 23,478,417,762.22/95,914.13
  6. Step 6: Final answer
    x = 244,785.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.