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Finding the Third Proportional to 130,145.91 and 263,914.03

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Solution

The third proportional to 130,145.91 and 263,914.03 is: 535,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,145.91 : 263,914.03 = 263,914.03 : x
  2. Step 2: Convert to fraction form
    130,145.91/263,914.03 = 263,914.03/x
  3. Step 3: Cross multiply
    130,145.91x = 263,914.03 × 263,914.03
  4. Step 4: Simplify right side
    130,145.91x = 69,650,615,890.63
  5. Step 5: Solve for x
    x = 69,650,615,890.63/130,145.91
  6. Step 6: Final answer
    x = 535,173.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.