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Finding the Third Proportional to 98,968.50 and 215,697

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Solution

The third proportional to 98,968.50 and 215,697 is: 470,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968.50 : 215,697 = 215,697 : x
  2. Step 2: Convert to fraction form
    98,968.50/215,697 = 215,697/x
  3. Step 3: Cross multiply
    98,968.50x = 215,697 × 215,697
  4. Step 4: Simplify right side
    98,968.50x = 46,525,195,809
  5. Step 5: Solve for x
    x = 46,525,195,809/98,968.50
  6. Step 6: Final answer
    x = 470,101.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.