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Finding the Third Proportional to 104,471.16 and 228,968.44

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Solution

The third proportional to 104,471.16 and 228,968.44 is: 501,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471.16 : 228,968.44 = 228,968.44 : x
  2. Step 2: Convert to fraction form
    104,471.16/228,968.44 = 228,968.44/x
  3. Step 3: Cross multiply
    104,471.16x = 228,968.44 × 228,968.44
  4. Step 4: Simplify right side
    104,471.16x = 52,426,545,371.19
  5. Step 5: Solve for x
    x = 52,426,545,371.19/104,471.16
  6. Step 6: Final answer
    x = 501,827.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.