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Finding the Third Proportional to 189,100,488 and 414,073,248

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Solution

The third proportional to 189,100,488 and 414,073,248 is: 906,695,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100,488 : 414,073,248 = 414,073,248 : x
  2. Step 2: Convert to fraction form
    189,100,488/414,073,248 = 414,073,248/x
  3. Step 3: Cross multiply
    189,100,488x = 414,073,248 × 414,073,248
  4. Step 4: Simplify right side
    189,100,488x = 171,456,654,709,269,504
  5. Step 5: Solve for x
    x = 171,456,654,709,269,504/189,100,488
  6. Step 6: Final answer
    x = 906,695,992.82

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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.