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Finding the Third Proportional to 46,322 and 99,986

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Solution

The third proportional to 46,322 and 99,986 is: 215,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,322 : 99,986 = 99,986 : x
  2. Step 2: Convert to fraction form
    46,322/99,986 = 99,986/x
  3. Step 3: Cross multiply
    46,322x = 99,986 × 99,986
  4. Step 4: Simplify right side
    46,322x = 9,997,200,196
  5. Step 5: Solve for x
    x = 9,997,200,196/46,322
  6. Step 6: Final answer
    x = 215,819.70

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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.