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Finding the Third Proportional to 96,270 and 211,140

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Solution

The third proportional to 96,270 and 211,140 is: 463,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,270 : 211,140 = 211,140 : x
  2. Step 2: Convert to fraction form
    96,270/211,140 = 211,140/x
  3. Step 3: Cross multiply
    96,270x = 211,140 × 211,140
  4. Step 4: Simplify right side
    96,270x = 44,580,099,600
  5. Step 5: Solve for x
    x = 44,580,099,600/96,270
  6. Step 6: Final answer
    x = 463,073.64

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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.