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Finding the Third Proportional to 75,200,732 and 164,917,312

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Solution

The third proportional to 75,200,732 and 164,917,312 is: 361,668,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200,732 : 164,917,312 = 164,917,312 : x
  2. Step 2: Convert to fraction form
    75,200,732/164,917,312 = 164,917,312/x
  3. Step 3: Cross multiply
    75,200,732x = 164,917,312 × 164,917,312
  4. Step 4: Simplify right side
    75,200,732x = 27,197,719,797,305,344
  5. Step 5: Solve for x
    x = 27,197,719,797,305,344/75,200,732
  6. Step 6: Final answer
    x = 361,668,285.32

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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.