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Finding the Third Proportional to 94,968 and 202,648

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Solution

The third proportional to 94,968 and 202,648 is: 432,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,968 : 202,648 = 202,648 : x
  2. Step 2: Convert to fraction form
    94,968/202,648 = 202,648/x
  3. Step 3: Cross multiply
    94,968x = 202,648 × 202,648
  4. Step 4: Simplify right side
    94,968x = 41,066,211,904
  5. Step 5: Solve for x
    x = 41,066,211,904/94,968
  6. Step 6: Final answer
    x = 432,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.