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Finding the Third Proportional to 94,968 and 221,864

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Solution

The third proportional to 94,968 and 221,864 is: 518,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,968 : 221,864 = 221,864 : x
  2. Step 2: Convert to fraction form
    94,968/221,864 = 221,864/x
  3. Step 3: Cross multiply
    94,968x = 221,864 × 221,864
  4. Step 4: Simplify right side
    94,968x = 49,223,634,496
  5. Step 5: Solve for x
    x = 49,223,634,496/94,968
  6. Step 6: Final answer
    x = 518,318.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.