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Finding the Third Proportional to 125,534,504 and 270,886,096

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Solution

The third proportional to 125,534,504 and 270,886,096 is: 584,534,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,534,504 : 270,886,096 = 270,886,096 : x
  2. Step 2: Convert to fraction form
    125,534,504/270,886,096 = 270,886,096/x
  3. Step 3: Cross multiply
    125,534,504x = 270,886,096 × 270,886,096
  4. Step 4: Simplify right side
    125,534,504x = 73,379,277,006,121,216
  5. Step 5: Solve for x
    x = 73,379,277,006,121,216/125,534,504
  6. Step 6: Final answer
    x = 584,534,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.