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Finding the Third Proportional to 182,077,049 and 266,203,011

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Solution

The third proportional to 182,077,049 and 266,203,011 is: 389,198,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,077,049 : 266,203,011 = 266,203,011 : x
  2. Step 2: Convert to fraction form
    182,077,049/266,203,011 = 266,203,011/x
  3. Step 3: Cross multiply
    182,077,049x = 266,203,011 × 266,203,011
  4. Step 4: Simplify right side
    182,077,049x = 70,864,043,065,466,120
  5. Step 5: Solve for x
    x = 70,864,043,065,466,120/182,077,049
  6. Step 6: Final answer
    x = 389,198,108.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.