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Finding the Third Proportional to 182,413,549 and 401,309,416

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Solution

The third proportional to 182,413,549 and 401,309,416 is: 882,879,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,413,549 : 401,309,416 = 401,309,416 : x
  2. Step 2: Convert to fraction form
    182,413,549/401,309,416 = 401,309,416/x
  3. Step 3: Cross multiply
    182,413,549x = 401,309,416 × 401,309,416
  4. Step 4: Simplify right side
    182,413,549x = 161,049,247,370,261,056
  5. Step 5: Solve for x
    x = 161,049,247,370,261,056/182,413,549
  6. Step 6: Final answer
    x = 882,879,853.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.