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Finding the Third Proportional to 94,655 and 204,066

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Solution

The third proportional to 94,655 and 204,066 is: 439,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,655 : 204,066 = 204,066 : x
  2. Step 2: Convert to fraction form
    94,655/204,066 = 204,066/x
  3. Step 3: Cross multiply
    94,655x = 204,066 × 204,066
  4. Step 4: Simplify right side
    94,655x = 41,642,932,356
  5. Step 5: Solve for x
    x = 41,642,932,356/94,655
  6. Step 6: Final answer
    x = 439,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.