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Finding the Third Proportional to 99,011 and 216,736

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Solution

The third proportional to 99,011 and 216,736 is: 474,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,011 : 216,736 = 216,736 : x
  2. Step 2: Convert to fraction form
    99,011/216,736 = 216,736/x
  3. Step 3: Cross multiply
    99,011x = 216,736 × 216,736
  4. Step 4: Simplify right side
    99,011x = 46,974,493,696
  5. Step 5: Solve for x
    x = 46,974,493,696/99,011
  6. Step 6: Final answer
    x = 474,437.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.