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Finding the Third Proportional to 150,491,301.75 and 232,585,269.75

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Solution

The third proportional to 150,491,301.75 and 232,585,269.75 is: 359,462,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,491,301.75 : 232,585,269.75 = 232,585,269.75 : x
  2. Step 2: Convert to fraction form
    150,491,301.75/232,585,269.75 = 232,585,269.75/x
  3. Step 3: Cross multiply
    150,491,301.75x = 232,585,269.75 × 232,585,269.75
  4. Step 4: Simplify right side
    150,491,301.75x = 54,095,907,704,680,264
  5. Step 5: Solve for x
    x = 54,095,907,704,680,264/150,491,301.75
  6. Step 6: Final answer
    x = 359,462,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.