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Finding the Third Proportional to 99,363 and 147,694.50

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Solution

The third proportional to 99,363 and 147,694.50 is: 219,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,363 : 147,694.50 = 147,694.50 : x
  2. Step 2: Convert to fraction form
    99,363/147,694.50 = 147,694.50/x
  3. Step 3: Cross multiply
    99,363x = 147,694.50 × 147,694.50
  4. Step 4: Simplify right side
    99,363x = 21,813,665,330.25
  5. Step 5: Solve for x
    x = 21,813,665,330.25/99,363
  6. Step 6: Final answer
    x = 219,535.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.