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Finding the Third Proportional to 190,109.25 and 415,276.13

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Solution

The third proportional to 190,109.25 and 415,276.13 is: 907,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,109.25 : 415,276.13 = 415,276.13 : x
  2. Step 2: Convert to fraction form
    190,109.25/415,276.13 = 415,276.13/x
  3. Step 3: Cross multiply
    190,109.25x = 415,276.13 × 415,276.13
  4. Step 4: Simplify right side
    190,109.25x = 172,454,259,995.02
  5. Step 5: Solve for x
    x = 172,454,259,995.02/190,109.25
  6. Step 6: Final answer
    x = 907,132.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.