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Finding the Third Proportional to 208,135.13 and 445,795.88

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Solution

The third proportional to 208,135.13 and 445,795.88 is: 954,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135.13 : 445,795.88 = 445,795.88 : x
  2. Step 2: Convert to fraction form
    208,135.13/445,795.88 = 445,795.88/x
  3. Step 3: Cross multiply
    208,135.13x = 445,795.88 × 445,795.88
  4. Step 4: Simplify right side
    208,135.13x = 198,733,962,167.02
  5. Step 5: Solve for x
    x = 198,733,962,167.02/208,135.13
  6. Step 6: Final answer
    x = 954,831.45

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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.