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Finding the Third Proportional to 41,970.50 and 92,210.50

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Solution

The third proportional to 41,970.50 and 92,210.50 is: 202,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,970.50 : 92,210.50 = 92,210.50 : x
  2. Step 2: Convert to fraction form
    41,970.50/92,210.50 = 92,210.50/x
  3. Step 3: Cross multiply
    41,970.50x = 92,210.50 × 92,210.50
  4. Step 4: Simplify right side
    41,970.50x = 8,502,776,310.25
  5. Step 5: Solve for x
    x = 8,502,776,310.25/41,970.50
  6. Step 6: Final answer
    x = 202,589.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.