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Finding the Third Proportional to 99,828.50 and 216,255

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Solution

The third proportional to 99,828.50 and 216,255 is: 468,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828.50 : 216,255 = 216,255 : x
  2. Step 2: Convert to fraction form
    99,828.50/216,255 = 216,255/x
  3. Step 3: Cross multiply
    99,828.50x = 216,255 × 216,255
  4. Step 4: Simplify right side
    99,828.50x = 46,766,225,025
  5. Step 5: Solve for x
    x = 46,766,225,025/99,828.50
  6. Step 6: Final answer
    x = 468,465.67

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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.