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Finding the Third Proportional to 99,477 and 140,622.50

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Solution

The third proportional to 99,477 and 140,622.50 is: 198,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477 : 140,622.50 = 140,622.50 : x
  2. Step 2: Convert to fraction form
    99,477/140,622.50 = 140,622.50/x
  3. Step 3: Cross multiply
    99,477x = 140,622.50 × 140,622.50
  4. Step 4: Simplify right side
    99,477x = 19,774,687,506.25
  5. Step 5: Solve for x
    x = 19,774,687,506.25/99,477
  6. Step 6: Final answer
    x = 198,786.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.