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Finding the Third Proportional to 97,824 and 211,200

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Solution

The third proportional to 97,824 and 211,200 is: 455,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,824 : 211,200 = 211,200 : x
  2. Step 2: Convert to fraction form
    97,824/211,200 = 211,200/x
  3. Step 3: Cross multiply
    97,824x = 211,200 × 211,200
  4. Step 4: Simplify right side
    97,824x = 44,605,440,000
  5. Step 5: Solve for x
    x = 44,605,440,000/97,824
  6. Step 6: Final answer
    x = 455,976.45

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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.