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Finding the Third Proportional to 109,282,511 and 166,161,488

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Solution

The third proportional to 109,282,511 and 166,161,488 is: 252,644,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,511 : 166,161,488 = 166,161,488 : x
  2. Step 2: Convert to fraction form
    109,282,511/166,161,488 = 166,161,488/x
  3. Step 3: Cross multiply
    109,282,511x = 166,161,488 × 166,161,488
  4. Step 4: Simplify right side
    109,282,511x = 27,609,640,094,374,144
  5. Step 5: Solve for x
    x = 27,609,640,094,374,144/109,282,511
  6. Step 6: Final answer
    x = 252,644,634.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.