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Finding the Third Proportional to 86,131,701 and 189,003,658.50

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Solution

The third proportional to 86,131,701 and 189,003,658.50 is: 414,741,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131,701 : 189,003,658.50 = 189,003,658.50 : x
  2. Step 2: Convert to fraction form
    86,131,701/189,003,658.50 = 189,003,658.50/x
  3. Step 3: Cross multiply
    86,131,701x = 189,003,658.50 × 189,003,658.50
  4. Step 4: Simplify right side
    86,131,701x = 35,722,382,926,384,624
  5. Step 5: Solve for x
    x = 35,722,382,926,384,624/86,131,701
  6. Step 6: Final answer
    x = 414,741,407.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.