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Finding the Third Proportional to 133,902.49 and 207,466.00

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Solution

The third proportional to 133,902.49 and 207,466.00 is: 321,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,902.49 : 207,466.00 = 207,466.00 : x
  2. Step 2: Convert to fraction form
    133,902.49/207,466.00 = 207,466.00/x
  3. Step 3: Cross multiply
    133,902.49x = 207,466.00 × 207,466.00
  4. Step 4: Simplify right side
    133,902.49x = 43,042,139,535.18
  5. Step 5: Solve for x
    x = 43,042,139,535.18/133,902.49
  6. Step 6: Final answer
    x = 321,443.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.