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Finding the Third Proportional to 90,706.50 and 191,497.50

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Solution

The third proportional to 90,706.50 and 191,497.50 is: 404,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,706.50 : 191,497.50 = 191,497.50 : x
  2. Step 2: Convert to fraction form
    90,706.50/191,497.50 = 191,497.50/x
  3. Step 3: Cross multiply
    90,706.50x = 191,497.50 × 191,497.50
  4. Step 4: Simplify right side
    90,706.50x = 36,671,292,506.25
  5. Step 5: Solve for x
    x = 36,671,292,506.25/90,706.50
  6. Step 6: Final answer
    x = 404,285.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.