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Finding the Third Proportional to 189,100,516 and 414,073,304

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Solution

The third proportional to 189,100,516 and 414,073,304 is: 906,696,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100,516 : 414,073,304 = 414,073,304 : x
  2. Step 2: Convert to fraction form
    189,100,516/414,073,304 = 414,073,304/x
  3. Step 3: Cross multiply
    189,100,516x = 414,073,304 × 414,073,304
  4. Step 4: Simplify right side
    189,100,516x = 171,456,701,085,476,416
  5. Step 5: Solve for x
    x = 171,456,701,085,476,416/189,100,516
  6. Step 6: Final answer
    x = 906,696,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.