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Finding the Third Proportional to 97,998 and 214,678

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Solution

The third proportional to 97,998 and 214,678 is: 470,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 214,678 = 214,678 : x
  2. Step 2: Convert to fraction form
    97,998/214,678 = 214,678/x
  3. Step 3: Cross multiply
    97,998x = 214,678 × 214,678
  4. Step 4: Simplify right side
    97,998x = 46,086,643,684
  5. Step 5: Solve for x
    x = 46,086,643,684/97,998
  6. Step 6: Final answer
    x = 470,281.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.