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Finding the Third Proportional to 82,354,887 and 177,474,199.50

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Solution

The third proportional to 82,354,887 and 177,474,199.50 is: 382,455,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354,887 : 177,474,199.50 = 177,474,199.50 : x
  2. Step 2: Convert to fraction form
    82,354,887/177,474,199.50 = 177,474,199.50/x
  3. Step 3: Cross multiply
    82,354,887x = 177,474,199.50 × 177,474,199.50
  4. Step 4: Simplify right side
    82,354,887x = 31,497,091,488,165,800
  5. Step 5: Solve for x
    x = 31,497,091,488,165,800/82,354,887
  6. Step 6: Final answer
    x = 382,455,645.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.