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Finding the Third Proportional to 102,774.75 and 228,905.63

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Solution

The third proportional to 102,774.75 and 228,905.63 is: 509,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,774.75 : 228,905.63 = 228,905.63 : x
  2. Step 2: Convert to fraction form
    102,774.75/228,905.63 = 228,905.63/x
  3. Step 3: Cross multiply
    102,774.75x = 228,905.63 × 228,905.63
  4. Step 4: Simplify right side
    102,774.75x = 52,397,785,156.64
  5. Step 5: Solve for x
    x = 52,397,785,156.64/102,774.75
  6. Step 6: Final answer
    x = 509,831.31

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