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Finding the Third Proportional to 84,199,856 and 181,393,406

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Solution

The third proportional to 84,199,856 and 181,393,406 is: 390,779,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199,856 : 181,393,406 = 181,393,406 : x
  2. Step 2: Convert to fraction form
    84,199,856/181,393,406 = 181,393,406/x
  3. Step 3: Cross multiply
    84,199,856x = 181,393,406 × 181,393,406
  4. Step 4: Simplify right side
    84,199,856x = 32,903,567,740,280,836
  5. Step 5: Solve for x
    x = 32,903,567,740,280,836/84,199,856
  6. Step 6: Final answer
    x = 390,779,382.57

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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.