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Finding the Third Proportional to 104,613 and 228,787.50

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Solution

The third proportional to 104,613 and 228,787.50 is: 500,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,613 : 228,787.50 = 228,787.50 : x
  2. Step 2: Convert to fraction form
    104,613/228,787.50 = 228,787.50/x
  3. Step 3: Cross multiply
    104,613x = 228,787.50 × 228,787.50
  4. Step 4: Simplify right side
    104,613x = 52,343,720,156.25
  5. Step 5: Solve for x
    x = 52,343,720,156.25/104,613
  6. Step 6: Final answer
    x = 500,355.79

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