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Finding the Third Proportional to 98,840 and 216,136

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Solution

The third proportional to 98,840 and 216,136 is: 472,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840 : 216,136 = 216,136 : x
  2. Step 2: Convert to fraction form
    98,840/216,136 = 216,136/x
  3. Step 3: Cross multiply
    98,840x = 216,136 × 216,136
  4. Step 4: Simplify right side
    98,840x = 46,714,770,496
  5. Step 5: Solve for x
    x = 46,714,770,496/98,840
  6. Step 6: Final answer
    x = 472,630.22

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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.