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Finding the Third Proportional to 119,101,563 and 182,156,080.50

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Solution

The third proportional to 119,101,563 and 182,156,080.50 is: 278,592,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101,563 : 182,156,080.50 = 182,156,080.50 : x
  2. Step 2: Convert to fraction form
    119,101,563/182,156,080.50 = 182,156,080.50/x
  3. Step 3: Cross multiply
    119,101,563x = 182,156,080.50 × 182,156,080.50
  4. Step 4: Simplify right side
    119,101,563x = 33,180,837,663,122,480
  5. Step 5: Solve for x
    x = 33,180,837,663,122,480/119,101,563
  6. Step 6: Final answer
    x = 278,592,797.84

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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.