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Finding the Third Proportional to 93,261.66 and 140,778.84

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Solution

The third proportional to 93,261.66 and 140,778.84 is: 212,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,261.66 : 140,778.84 = 140,778.84 : x
  2. Step 2: Convert to fraction form
    93,261.66/140,778.84 = 140,778.84/x
  3. Step 3: Cross multiply
    93,261.66x = 140,778.84 × 140,778.84
  4. Step 4: Simplify right side
    93,261.66x = 19,818,682,847.59
  5. Step 5: Solve for x
    x = 19,818,682,847.59/93,261.66
  6. Step 6: Final answer
    x = 212,506.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.