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Finding the Third Proportional to 147,616 and 221,385.38

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Solution

The third proportional to 147,616 and 221,385.38 is: 332,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,616 : 221,385.38 = 221,385.38 : x
  2. Step 2: Convert to fraction form
    147,616/221,385.38 = 221,385.38/x
  3. Step 3: Cross multiply
    147,616x = 221,385.38 × 221,385.38
  4. Step 4: Simplify right side
    147,616x = 49,011,484,263.89
  5. Step 5: Solve for x
    x = 49,011,484,263.89/147,616
  6. Step 6: Final answer
    x = 332,020.14

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