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Finding the Third Proportional to 105,570.84 and 219,878.30

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Solution

The third proportional to 105,570.84 and 219,878.30 is: 457,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570.84 : 219,878.30 = 219,878.30 : x
  2. Step 2: Convert to fraction form
    105,570.84/219,878.30 = 219,878.30/x
  3. Step 3: Cross multiply
    105,570.84x = 219,878.30 × 219,878.30
  4. Step 4: Simplify right side
    105,570.84x = 48,346,465,436.65
  5. Step 5: Solve for x
    x = 48,346,465,436.65/105,570.84
  6. Step 6: Final answer
    x = 457,952.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.