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Finding the Third Proportional to 98,173.13 and 211,790.25

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Solution

The third proportional to 98,173.13 and 211,790.25 is: 456,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,173.13 : 211,790.25 = 211,790.25 : x
  2. Step 2: Convert to fraction form
    98,173.13/211,790.25 = 211,790.25/x
  3. Step 3: Cross multiply
    98,173.13x = 211,790.25 × 211,790.25
  4. Step 4: Simplify right side
    98,173.13x = 44,855,109,995.06
  5. Step 5: Solve for x
    x = 44,855,109,995.06/98,173.13
  6. Step 6: Final answer
    x = 456,898.06

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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.