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Finding the Third Proportional to 107,094.66 and 235,209.45

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Solution

The third proportional to 107,094.66 and 235,209.45 is: 516,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,094.66 : 235,209.45 = 235,209.45 : x
  2. Step 2: Convert to fraction form
    107,094.66/235,209.45 = 235,209.45/x
  3. Step 3: Cross multiply
    107,094.66x = 235,209.45 × 235,209.45
  4. Step 4: Simplify right side
    107,094.66x = 55,323,483,164.21
  5. Step 5: Solve for x
    x = 55,323,483,164.21/107,094.66
  6. Step 6: Final answer
    x = 516,584.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.