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Finding the Third Proportional to 94,946 and 202,164

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Solution

The third proportional to 94,946 and 202,164 is: 430,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,946 : 202,164 = 202,164 : x
  2. Step 2: Convert to fraction form
    94,946/202,164 = 202,164/x
  3. Step 3: Cross multiply
    94,946x = 202,164 × 202,164
  4. Step 4: Simplify right side
    94,946x = 40,870,282,896
  5. Step 5: Solve for x
    x = 40,870,282,896/94,946
  6. Step 6: Final answer
    x = 430,458.19

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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.