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Finding the Third Proportional to 98,814,832 and 217,733,216

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Solution

The third proportional to 98,814,832 and 217,733,216 is: 479,763,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,814,832 : 217,733,216 = 217,733,216 : x
  2. Step 2: Convert to fraction form
    98,814,832/217,733,216 = 217,733,216/x
  3. Step 3: Cross multiply
    98,814,832x = 217,733,216 × 217,733,216
  4. Step 4: Simplify right side
    98,814,832x = 47,407,753,349,702,656
  5. Step 5: Solve for x
    x = 47,407,753,349,702,656/98,814,832
  6. Step 6: Final answer
    x = 479,763,537.42

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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.