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Finding the Third Proportional to 92,655 and 202,303

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Solution

The third proportional to 92,655 and 202,303 is: 441,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,655 : 202,303 = 202,303 : x
  2. Step 2: Convert to fraction form
    92,655/202,303 = 202,303/x
  3. Step 3: Cross multiply
    92,655x = 202,303 × 202,303
  4. Step 4: Simplify right side
    92,655x = 40,926,503,809
  5. Step 5: Solve for x
    x = 40,926,503,809/92,655
  6. Step 6: Final answer
    x = 441,708.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.