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Finding the Third Proportional to 190,032.75 and 413,143.13

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Solution

The third proportional to 190,032.75 and 413,143.13 is: 898,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,032.75 : 413,143.13 = 413,143.13 : x
  2. Step 2: Convert to fraction form
    190,032.75/413,143.13 = 413,143.13/x
  3. Step 3: Cross multiply
    190,032.75x = 413,143.13 × 413,143.13
  4. Step 4: Simplify right side
    190,032.75x = 170,687,241,734.77
  5. Step 5: Solve for x
    x = 170,687,241,734.77/190,032.75
  6. Step 6: Final answer
    x = 898,199.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.