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Finding the Third Proportional to 119,101,727 and 182,156,273

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Solution

The third proportional to 119,101,727 and 182,156,273 is: 278,593,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101,727 : 182,156,273 = 182,156,273 : x
  2. Step 2: Convert to fraction form
    119,101,727/182,156,273 = 182,156,273/x
  3. Step 3: Cross multiply
    119,101,727x = 182,156,273 × 182,156,273
  4. Step 4: Simplify right side
    119,101,727x = 33,180,907,793,250,528
  5. Step 5: Solve for x
    x = 33,180,907,793,250,528/119,101,727
  6. Step 6: Final answer
    x = 278,593,003.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.