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Finding the Third Proportional to 201,148.88 and 418,831.88

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Solution

The third proportional to 201,148.88 and 418,831.88 is: 872,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148.88 : 418,831.88 = 418,831.88 : x
  2. Step 2: Convert to fraction form
    201,148.88/418,831.88 = 418,831.88/x
  3. Step 3: Cross multiply
    201,148.88x = 418,831.88 × 418,831.88
  4. Step 4: Simplify right side
    201,148.88x = 175,420,139,516.02
  5. Step 5: Solve for x
    x = 175,420,139,516.02/201,148.88
  6. Step 6: Final answer
    x = 872,091.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.