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Finding the Third Proportional to 85,476.75 and 221,893.50

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Solution

The third proportional to 85,476.75 and 221,893.50 is: 576,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476.75 : 221,893.50 = 221,893.50 : x
  2. Step 2: Convert to fraction form
    85,476.75/221,893.50 = 221,893.50/x
  3. Step 3: Cross multiply
    85,476.75x = 221,893.50 × 221,893.50
  4. Step 4: Simplify right side
    85,476.75x = 49,236,725,342.25
  5. Step 5: Solve for x
    x = 49,236,725,342.25/85,476.75
  6. Step 6: Final answer
    x = 576,024.77

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.