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Finding the Third Proportional to 102,773.81 and 228,904.03

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Solution

The third proportional to 102,773.81 and 228,904.03 is: 509,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,773.81 : 228,904.03 = 228,904.03 : x
  2. Step 2: Convert to fraction form
    102,773.81/228,904.03 = 228,904.03/x
  3. Step 3: Cross multiply
    102,773.81x = 228,904.03 × 228,904.03
  4. Step 4: Simplify right side
    102,773.81x = 52,397,055,522.50
  5. Step 5: Solve for x
    x = 52,397,055,522.50/102,773.81
  6. Step 6: Final answer
    x = 509,828.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.