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Finding the Third Proportional to 104,960 and 221,776

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Solution

The third proportional to 104,960 and 221,776 is: 468,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960 : 221,776 = 221,776 : x
  2. Step 2: Convert to fraction form
    104,960/221,776 = 221,776/x
  3. Step 3: Cross multiply
    104,960x = 221,776 × 221,776
  4. Step 4: Simplify right side
    104,960x = 49,184,594,176
  5. Step 5: Solve for x
    x = 49,184,594,176/104,960
  6. Step 6: Final answer
    x = 468,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.