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Finding the Third Proportional to 95,029.50 and 206,487

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Solution

The third proportional to 95,029.50 and 206,487 is: 448,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,029.50 : 206,487 = 206,487 : x
  2. Step 2: Convert to fraction form
    95,029.50/206,487 = 206,487/x
  3. Step 3: Cross multiply
    95,029.50x = 206,487 × 206,487
  4. Step 4: Simplify right side
    95,029.50x = 42,636,881,169
  5. Step 5: Solve for x
    x = 42,636,881,169/95,029.50
  6. Step 6: Final answer
    x = 448,669.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.