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Finding the Third Proportional to 109,519,144 and 163,937,544

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Solution

The third proportional to 109,519,144 and 163,937,544 is: 245,395,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,519,144 : 163,937,544 = 163,937,544 : x
  2. Step 2: Convert to fraction form
    109,519,144/163,937,544 = 163,937,544/x
  3. Step 3: Cross multiply
    109,519,144x = 163,937,544 × 163,937,544
  4. Step 4: Simplify right side
    109,519,144x = 26,875,518,332,751,936
  5. Step 5: Solve for x
    x = 26,875,518,332,751,936/109,519,144
  6. Step 6: Final answer
    x = 245,395,620.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.