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Finding the Third Proportional to 96,459 and 211,594

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Solution

The third proportional to 96,459 and 211,594 is: 464,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,459 : 211,594 = 211,594 : x
  2. Step 2: Convert to fraction form
    96,459/211,594 = 211,594/x
  3. Step 3: Cross multiply
    96,459x = 211,594 × 211,594
  4. Step 4: Simplify right side
    96,459x = 44,772,020,836
  5. Step 5: Solve for x
    x = 44,772,020,836/96,459
  6. Step 6: Final answer
    x = 464,155.97

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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.