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Finding the Third Proportional to 109,282,506 and 166,161,480

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Solution

The third proportional to 109,282,506 and 166,161,480 is: 252,644,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,506 : 166,161,480 = 166,161,480 : x
  2. Step 2: Convert to fraction form
    109,282,506/166,161,480 = 166,161,480/x
  3. Step 3: Cross multiply
    109,282,506x = 166,161,480 × 166,161,480
  4. Step 4: Simplify right side
    109,282,506x = 27,609,637,435,790,400
  5. Step 5: Solve for x
    x = 27,609,637,435,790,400/109,282,506
  6. Step 6: Final answer
    x = 252,644,622.15

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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.