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Finding the Third Proportional to 100,243 and 216,156.50

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Solution

The third proportional to 100,243 and 216,156.50 is: 466,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,243 : 216,156.50 = 216,156.50 : x
  2. Step 2: Convert to fraction form
    100,243/216,156.50 = 216,156.50/x
  3. Step 3: Cross multiply
    100,243x = 216,156.50 × 216,156.50
  4. Step 4: Simplify right side
    100,243x = 46,723,632,492.25
  5. Step 5: Solve for x
    x = 46,723,632,492.25/100,243
  6. Step 6: Final answer
    x = 466,103.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.