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Finding the Third Proportional to 154,414,755 and 235,240,205.06

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Solution

The third proportional to 154,414,755 and 235,240,205.06 is: 358,372,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414,755 : 235,240,205.06 = 235,240,205.06 : x
  2. Step 2: Convert to fraction form
    154,414,755/235,240,205.06 = 235,240,205.06/x
  3. Step 3: Cross multiply
    154,414,755x = 235,240,205.06 × 235,240,205.06
  4. Step 4: Simplify right side
    154,414,755x = 55,337,954,077,847,048
  5. Step 5: Solve for x
    x = 55,337,954,077,847,048/154,414,755
  6. Step 6: Final answer
    x = 358,372,191.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.