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Finding the Third Proportional to 115,120,059 and 177,126,442

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Solution

The third proportional to 115,120,059 and 177,126,442 is: 272,530,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,120,059 : 177,126,442 = 177,126,442 : x
  2. Step 2: Convert to fraction form
    115,120,059/177,126,442 = 177,126,442/x
  3. Step 3: Cross multiply
    115,120,059x = 177,126,442 × 177,126,442
  4. Step 4: Simplify right side
    115,120,059x = 31,373,776,455,579,364
  5. Step 5: Solve for x
    x = 31,373,776,455,579,364/115,120,059
  6. Step 6: Final answer
    x = 272,530,927.52

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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.