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Finding the Third Proportional to 150,009,487.31 and 225,413,609.06

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Solution

The third proportional to 150,009,487.31 and 225,413,609.06 is: 338,720,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,487.31 : 225,413,609.06 = 225,413,609.06 : x
  2. Step 2: Convert to fraction form
    150,009,487.31/225,413,609.06 = 225,413,609.06/x
  3. Step 3: Cross multiply
    150,009,487.31x = 225,413,609.06 × 225,413,609.06
  4. Step 4: Simplify right side
    150,009,487.31x = 50,811,295,150,581,584
  5. Step 5: Solve for x
    x = 50,811,295,150,581,584/150,009,487.31
  6. Step 6: Final answer
    x = 338,720,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.