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Finding the Third Proportional to 99,156 and 193,330.50

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Solution

The third proportional to 99,156 and 193,330.50 is: 376,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,156 : 193,330.50 = 193,330.50 : x
  2. Step 2: Convert to fraction form
    99,156/193,330.50 = 193,330.50/x
  3. Step 3: Cross multiply
    99,156x = 193,330.50 × 193,330.50
  4. Step 4: Simplify right side
    99,156x = 37,376,682,230.25
  5. Step 5: Solve for x
    x = 37,376,682,230.25/99,156
  6. Step 6: Final answer
    x = 376,948.27

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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.