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Finding the Third Proportional to 99,072 and 215,640

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Solution

The third proportional to 99,072 and 215,640 is: 469,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 215,640 = 215,640 : x
  2. Step 2: Convert to fraction form
    99,072/215,640 = 215,640/x
  3. Step 3: Cross multiply
    99,072x = 215,640 × 215,640
  4. Step 4: Simplify right side
    99,072x = 46,500,609,600
  5. Step 5: Solve for x
    x = 46,500,609,600/99,072
  6. Step 6: Final answer
    x = 469,361.77

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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.