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Finding the Third Proportional to 189,488,540 and 414,638,248

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Solution

The third proportional to 189,488,540 and 414,638,248 is: 907,310,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,488,540 : 414,638,248 = 414,638,248 : x
  2. Step 2: Convert to fraction form
    189,488,540/414,638,248 = 414,638,248/x
  3. Step 3: Cross multiply
    189,488,540x = 414,638,248 × 414,638,248
  4. Step 4: Simplify right side
    189,488,540x = 171,924,876,704,509,504
  5. Step 5: Solve for x
    x = 171,924,876,704,509,504/189,488,540
  6. Step 6: Final answer
    x = 907,310,155.56

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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.