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Finding the Third Proportional to 104,922 and 228,463.88

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Solution

The third proportional to 104,922 and 228,463.88 is: 497,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,922 : 228,463.88 = 228,463.88 : x
  2. Step 2: Convert to fraction form
    104,922/228,463.88 = 228,463.88/x
  3. Step 3: Cross multiply
    104,922x = 228,463.88 × 228,463.88
  4. Step 4: Simplify right side
    104,922x = 52,195,742,180.02
  5. Step 5: Solve for x
    x = 52,195,742,180.02/104,922
  6. Step 6: Final answer
    x = 497,471.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.