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Finding the Third Proportional to 99,153 and 193,324.50

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Solution

The third proportional to 99,153 and 193,324.50 is: 376,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,153 : 193,324.50 = 193,324.50 : x
  2. Step 2: Convert to fraction form
    99,153/193,324.50 = 193,324.50/x
  3. Step 3: Cross multiply
    99,153x = 193,324.50 × 193,324.50
  4. Step 4: Simplify right side
    99,153x = 37,374,362,300.25
  5. Step 5: Solve for x
    x = 37,374,362,300.25/99,153
  6. Step 6: Final answer
    x = 376,936.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.