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Finding the Third Proportional to 77,243,932 and 108,257,174

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Solution

The third proportional to 77,243,932 and 108,257,174 is: 151,722,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243,932 : 108,257,174 = 108,257,174 : x
  2. Step 2: Convert to fraction form
    77,243,932/108,257,174 = 108,257,174/x
  3. Step 3: Cross multiply
    77,243,932x = 108,257,174 × 108,257,174
  4. Step 4: Simplify right side
    77,243,932x = 11,719,615,722,466,276
  5. Step 5: Solve for x
    x = 11,719,615,722,466,276/77,243,932
  6. Step 6: Final answer
    x = 151,722,153.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.