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Finding the Third Proportional to 97,070 and 211,230

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Solution

The third proportional to 97,070 and 211,230 is: 459,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070 : 211,230 = 211,230 : x
  2. Step 2: Convert to fraction form
    97,070/211,230 = 211,230/x
  3. Step 3: Cross multiply
    97,070x = 211,230 × 211,230
  4. Step 4: Simplify right side
    97,070x = 44,618,112,900
  5. Step 5: Solve for x
    x = 44,618,112,900/97,070
  6. Step 6: Final answer
    x = 459,648.84

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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.