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Finding the Third Proportional to 99,735 and 215,322

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Solution

The third proportional to 99,735 and 215,322 is: 464,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,735 : 215,322 = 215,322 : x
  2. Step 2: Convert to fraction form
    99,735/215,322 = 215,322/x
  3. Step 3: Cross multiply
    99,735x = 215,322 × 215,322
  4. Step 4: Simplify right side
    99,735x = 46,363,563,684
  5. Step 5: Solve for x
    x = 46,363,563,684/99,735
  6. Step 6: Final answer
    x = 464,867.54

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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.