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Finding the Third Proportional to 107,102.25 and 233,259.75

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Solution

The third proportional to 107,102.25 and 233,259.75 is: 508,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.25 : 233,259.75 = 233,259.75 : x
  2. Step 2: Convert to fraction form
    107,102.25/233,259.75 = 233,259.75/x
  3. Step 3: Cross multiply
    107,102.25x = 233,259.75 × 233,259.75
  4. Step 4: Simplify right side
    107,102.25x = 54,410,110,970.06
  5. Step 5: Solve for x
    x = 54,410,110,970.06/107,102.25
  6. Step 6: Final answer
    x = 508,020.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.