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Finding the Third Proportional to 96,390 and 201,507.75

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Solution

The third proportional to 96,390 and 201,507.75 is: 421,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,390 : 201,507.75 = 201,507.75 : x
  2. Step 2: Convert to fraction form
    96,390/201,507.75 = 201,507.75/x
  3. Step 3: Cross multiply
    96,390x = 201,507.75 × 201,507.75
  4. Step 4: Simplify right side
    96,390x = 40,605,373,310.06
  5. Step 5: Solve for x
    x = 40,605,373,310.06/96,390
  6. Step 6: Final answer
    x = 421,261.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.