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Finding the Third Proportional to 99,026.72 and 213,834.94

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Solution

The third proportional to 99,026.72 and 213,834.94 is: 461,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,026.72 : 213,834.94 = 213,834.94 : x
  2. Step 2: Convert to fraction form
    99,026.72/213,834.94 = 213,834.94/x
  3. Step 3: Cross multiply
    99,026.72x = 213,834.94 × 213,834.94
  4. Step 4: Simplify right side
    99,026.72x = 45,725,380,495.63
  5. Step 5: Solve for x
    x = 45,725,380,495.63/99,026.72
  6. Step 6: Final answer
    x = 461,747.91

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