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Finding the Third Proportional to 109,282,514 and 166,161,490

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Solution

The third proportional to 109,282,514 and 166,161,490 is: 252,644,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,514 : 166,161,490 = 166,161,490 : x
  2. Step 2: Convert to fraction form
    109,282,514/166,161,490 = 166,161,490/x
  3. Step 3: Cross multiply
    109,282,514x = 166,161,490 × 166,161,490
  4. Step 4: Simplify right side
    109,282,514x = 27,609,640,759,020,100
  5. Step 5: Solve for x
    x = 27,609,640,759,020,100/109,282,514
  6. Step 6: Final answer
    x = 252,644,634.06

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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.