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Finding the Third Proportional to 99,683.63 and 149,179.46

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Solution

The third proportional to 99,683.63 and 149,179.46 is: 223,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,683.63 : 149,179.46 = 149,179.46 : x
  2. Step 2: Convert to fraction form
    99,683.63/149,179.46 = 149,179.46/x
  3. Step 3: Cross multiply
    99,683.63x = 149,179.46 × 149,179.46
  4. Step 4: Simplify right side
    99,683.63x = 22,254,510,108.77
  5. Step 5: Solve for x
    x = 22,254,510,108.77/99,683.63
  6. Step 6: Final answer
    x = 223,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.