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Finding the Third Proportional to 107,814.75 and 154,382.63

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Solution

The third proportional to 107,814.75 and 154,382.63 is: 221,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,814.75 : 154,382.63 = 154,382.63 : x
  2. Step 2: Convert to fraction form
    107,814.75/154,382.63 = 154,382.63/x
  3. Step 3: Cross multiply
    107,814.75x = 154,382.63 × 154,382.63
  4. Step 4: Simplify right side
    107,814.75x = 23,833,994,901.89
  5. Step 5: Solve for x
    x = 23,833,994,901.89/107,814.75
  6. Step 6: Final answer
    x = 221,064.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.