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Finding the Third Proportional to 98,712.94 and 213,187.65

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Solution

The third proportional to 98,712.94 and 213,187.65 is: 460,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712.94 : 213,187.65 = 213,187.65 : x
  2. Step 2: Convert to fraction form
    98,712.94/213,187.65 = 213,187.65/x
  3. Step 3: Cross multiply
    98,712.94x = 213,187.65 × 213,187.65
  4. Step 4: Simplify right side
    98,712.94x = 45,448,973,862.70
  5. Step 5: Solve for x
    x = 45,448,973,862.70/98,712.94
  6. Step 6: Final answer
    x = 460,415.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.