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Finding the Third Proportional to 95,265 and 201,222

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Solution

The third proportional to 95,265 and 201,222 is: 425,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,265 : 201,222 = 201,222 : x
  2. Step 2: Convert to fraction form
    95,265/201,222 = 201,222/x
  3. Step 3: Cross multiply
    95,265x = 201,222 × 201,222
  4. Step 4: Simplify right side
    95,265x = 40,490,293,284
  5. Step 5: Solve for x
    x = 40,490,293,284/95,265
  6. Step 6: Final answer
    x = 425,028.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.