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Finding the Third Proportional to 103,613.50 and 214,598

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Solution

The third proportional to 103,613.50 and 214,598 is: 444,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,613.50 : 214,598 = 214,598 : x
  2. Step 2: Convert to fraction form
    103,613.50/214,598 = 214,598/x
  3. Step 3: Cross multiply
    103,613.50x = 214,598 × 214,598
  4. Step 4: Simplify right side
    103,613.50x = 46,052,301,604
  5. Step 5: Solve for x
    x = 46,052,301,604/103,613.50
  6. Step 6: Final answer
    x = 444,462.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.