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Finding the Third Proportional to 75,111,966 and 160,145,253

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Solution

The third proportional to 75,111,966 and 160,145,253 is: 341,443,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111,966 : 160,145,253 = 160,145,253 : x
  2. Step 2: Convert to fraction form
    75,111,966/160,145,253 = 160,145,253/x
  3. Step 3: Cross multiply
    75,111,966x = 160,145,253 × 160,145,253
  4. Step 4: Simplify right side
    75,111,966x = 25,646,502,058,434,008
  5. Step 5: Solve for x
    x = 25,646,502,058,434,008/75,111,966
  6. Step 6: Final answer
    x = 341,443,626.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.