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Finding the Third Proportional to 70,804,125 and 109,350,546.75

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Solution

The third proportional to 70,804,125 and 109,350,546.75 is: 168,881,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,804,125 : 109,350,546.75 = 109,350,546.75 : x
  2. Step 2: Convert to fraction form
    70,804,125/109,350,546.75 = 109,350,546.75/x
  3. Step 3: Cross multiply
    70,804,125x = 109,350,546.75 × 109,350,546.75
  4. Step 4: Simplify right side
    70,804,125x = 11,957,542,074,523,936
  5. Step 5: Solve for x
    x = 11,957,542,074,523,936/70,804,125
  6. Step 6: Final answer
    x = 168,881,997.69

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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.