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Finding the Third Proportional to 104,101 and 228,658

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Solution

The third proportional to 104,101 and 228,658 is: 502,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,101 : 228,658 = 228,658 : x
  2. Step 2: Convert to fraction form
    104,101/228,658 = 228,658/x
  3. Step 3: Cross multiply
    104,101x = 228,658 × 228,658
  4. Step 4: Simplify right side
    104,101x = 52,284,480,964
  5. Step 5: Solve for x
    x = 52,284,480,964/104,101
  6. Step 6: Final answer
    x = 502,247.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.