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Finding the Third Proportional to 127,244,520 and 195,826,896

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Solution

The third proportional to 127,244,520 and 195,826,896 is: 301,373,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,244,520 : 195,826,896 = 195,826,896 : x
  2. Step 2: Convert to fraction form
    127,244,520/195,826,896 = 195,826,896/x
  3. Step 3: Cross multiply
    127,244,520x = 195,826,896 × 195,826,896
  4. Step 4: Simplify right side
    127,244,520x = 38,348,173,196,994,816
  5. Step 5: Solve for x
    x = 38,348,173,196,994,816/127,244,520
  6. Step 6: Final answer
    x = 301,373,868.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.