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Finding the Third Proportional to 99,256 and 216,358

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Solution

The third proportional to 99,256 and 216,358 is: 471,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,256 : 216,358 = 216,358 : x
  2. Step 2: Convert to fraction form
    99,256/216,358 = 216,358/x
  3. Step 3: Cross multiply
    99,256x = 216,358 × 216,358
  4. Step 4: Simplify right side
    99,256x = 46,810,784,164
  5. Step 5: Solve for x
    x = 46,810,784,164/99,256
  6. Step 6: Final answer
    x = 471,616.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.