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Finding the Third Proportional to 40,648.50 and 93,022.50

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Solution

The third proportional to 40,648.50 and 93,022.50 is: 212,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,648.50 : 93,022.50 = 93,022.50 : x
  2. Step 2: Convert to fraction form
    40,648.50/93,022.50 = 93,022.50/x
  3. Step 3: Cross multiply
    40,648.50x = 93,022.50 × 93,022.50
  4. Step 4: Simplify right side
    40,648.50x = 8,653,185,506.25
  5. Step 5: Solve for x
    x = 8,653,185,506.25/40,648.50
  6. Step 6: Final answer
    x = 212,878.35

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.