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Finding the Third Proportional to 99,495 and 215,028

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Solution

The third proportional to 99,495 and 215,028 is: 464,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,495 : 215,028 = 215,028 : x
  2. Step 2: Convert to fraction form
    99,495/215,028 = 215,028/x
  3. Step 3: Cross multiply
    99,495x = 215,028 × 215,028
  4. Step 4: Simplify right side
    99,495x = 46,237,040,784
  5. Step 5: Solve for x
    x = 46,237,040,784/99,495
  6. Step 6: Final answer
    x = 464,717.23

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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.