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Finding the Third Proportional to 97,830 and 211,212

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Solution

The third proportional to 97,830 and 211,212 is: 456,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830 : 211,212 = 211,212 : x
  2. Step 2: Convert to fraction form
    97,830/211,212 = 211,212/x
  3. Step 3: Cross multiply
    97,830x = 211,212 × 211,212
  4. Step 4: Simplify right side
    97,830x = 44,610,508,944
  5. Step 5: Solve for x
    x = 44,610,508,944/97,830
  6. Step 6: Final answer
    x = 456,000.30

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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.