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Finding the Third Proportional to 150,872,422.50 and 230,693,568.75

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Solution

The third proportional to 150,872,422.50 and 230,693,568.75 is: 352,745,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,872,422.50 : 230,693,568.75 = 230,693,568.75 : x
  2. Step 2: Convert to fraction form
    150,872,422.50/230,693,568.75 = 230,693,568.75/x
  3. Step 3: Cross multiply
    150,872,422.50x = 230,693,568.75 × 230,693,568.75
  4. Step 4: Simplify right side
    150,872,422.50x = 53,219,522,662,610,976
  5. Step 5: Solve for x
    x = 53,219,522,662,610,976/150,872,422.50
  6. Step 6: Final answer
    x = 352,745,198.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.