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Finding the Third Proportional to 46,380.75 and 99,320.25

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Solution

The third proportional to 46,380.75 and 99,320.25 is: 212,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380.75 : 99,320.25 = 99,320.25 : x
  2. Step 2: Convert to fraction form
    46,380.75/99,320.25 = 99,320.25/x
  3. Step 3: Cross multiply
    46,380.75x = 99,320.25 × 99,320.25
  4. Step 4: Simplify right side
    46,380.75x = 9,864,512,060.06
  5. Step 5: Solve for x
    x = 9,864,512,060.06/46,380.75
  6. Step 6: Final answer
    x = 212,685.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.