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Finding the Third Proportional to 45,356 and 98,016

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Solution

The third proportional to 45,356 and 98,016 is: 211,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,356 : 98,016 = 98,016 : x
  2. Step 2: Convert to fraction form
    45,356/98,016 = 98,016/x
  3. Step 3: Cross multiply
    45,356x = 98,016 × 98,016
  4. Step 4: Simplify right side
    45,356x = 9,607,136,256
  5. Step 5: Solve for x
    x = 9,607,136,256/45,356
  6. Step 6: Final answer
    x = 211,816.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.