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Finding the Third Proportional to 45,482,121 and 98,933,173.88

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Solution

The third proportional to 45,482,121 and 98,933,173.88 is: 215,200,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,482,121 : 98,933,173.88 = 98,933,173.88 : x
  2. Step 2: Convert to fraction form
    45,482,121/98,933,173.88 = 98,933,173.88/x
  3. Step 3: Cross multiply
    45,482,121x = 98,933,173.88 × 98,933,173.88
  4. Step 4: Simplify right side
    45,482,121x = 9,787,772,892,980,982
  5. Step 5: Solve for x
    x = 9,787,772,892,980,982/45,482,121
  6. Step 6: Final answer
    x = 215,200,449.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.