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Finding the Third Proportional to 136,467,504 and 209,652,624

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Solution

The third proportional to 136,467,504 and 209,652,624 is: 322,085,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,467,504 : 209,652,624 = 209,652,624 : x
  2. Step 2: Convert to fraction form
    136,467,504/209,652,624 = 209,652,624/x
  3. Step 3: Cross multiply
    136,467,504x = 209,652,624 × 209,652,624
  4. Step 4: Simplify right side
    136,467,504x = 43,954,222,750,085,376
  5. Step 5: Solve for x
    x = 43,954,222,750,085,376/136,467,504
  6. Step 6: Final answer
    x = 322,085,635.49

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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.