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Finding the Third Proportional to 97,992 and 214,664.63

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Solution

The third proportional to 97,992 and 214,664.63 is: 470,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992 : 214,664.63 = 214,664.63 : x
  2. Step 2: Convert to fraction form
    97,992/214,664.63 = 214,664.63/x
  3. Step 3: Cross multiply
    97,992x = 214,664.63 × 214,664.63
  4. Step 4: Simplify right side
    97,992x = 46,080,901,226.39
  5. Step 5: Solve for x
    x = 46,080,901,226.39/97,992
  6. Step 6: Final answer
    x = 470,251.67

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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.