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Finding the Third Proportional to 97,232 and 201,212

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Solution

The third proportional to 97,232 and 201,212 is: 416,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232 : 201,212 = 201,212 : x
  2. Step 2: Convert to fraction form
    97,232/201,212 = 201,212/x
  3. Step 3: Cross multiply
    97,232x = 201,212 × 201,212
  4. Step 4: Simplify right side
    97,232x = 40,486,268,944
  5. Step 5: Solve for x
    x = 40,486,268,944/97,232
  6. Step 6: Final answer
    x = 416,388.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.