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Finding the Third Proportional to 68,972,247 and 114,948,873

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Solution

The third proportional to 68,972,247 and 114,948,873 is: 191,573,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972,247 : 114,948,873 = 114,948,873 : x
  2. Step 2: Convert to fraction form
    68,972,247/114,948,873 = 114,948,873/x
  3. Step 3: Cross multiply
    68,972,247x = 114,948,873 × 114,948,873
  4. Step 4: Simplify right side
    68,972,247x = 13,213,243,403,970,128
  5. Step 5: Solve for x
    x = 13,213,243,403,970,128/68,972,247
  6. Step 6: Final answer
    x = 191,573,335.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.