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Finding the Third Proportional to 96,550 and 210,262

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Solution

The third proportional to 96,550 and 210,262 is: 457,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,550 : 210,262 = 210,262 : x
  2. Step 2: Convert to fraction form
    96,550/210,262 = 210,262/x
  3. Step 3: Cross multiply
    96,550x = 210,262 × 210,262
  4. Step 4: Simplify right side
    96,550x = 44,210,108,644
  5. Step 5: Solve for x
    x = 44,210,108,644/96,550
  6. Step 6: Final answer
    x = 457,898.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.