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Finding the Third Proportional to 176,498,682 and 272,191,596

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Solution

The third proportional to 176,498,682 and 272,191,596 is: 419,766,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498,682 : 272,191,596 = 272,191,596 : x
  2. Step 2: Convert to fraction form
    176,498,682/272,191,596 = 272,191,596/x
  3. Step 3: Cross multiply
    176,498,682x = 272,191,596 × 272,191,596
  4. Step 4: Simplify right side
    176,498,682x = 74,088,264,933,027,216
  5. Step 5: Solve for x
    x = 74,088,264,933,027,216/176,498,682
  6. Step 6: Final answer
    x = 419,766,675.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.