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Finding the Third Proportional to 98,551.69 and 211,113.84

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Solution

The third proportional to 98,551.69 and 211,113.84 is: 452,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,551.69 : 211,113.84 = 211,113.84 : x
  2. Step 2: Convert to fraction form
    98,551.69/211,113.84 = 211,113.84/x
  3. Step 3: Cross multiply
    98,551.69x = 211,113.84 × 211,113.84
  4. Step 4: Simplify right side
    98,551.69x = 44,569,055,022.90
  5. Step 5: Solve for x
    x = 44,569,055,022.90/98,551.69
  6. Step 6: Final answer
    x = 452,240.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.