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Finding the Third Proportional to 90,055.50 and 208,461

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Solution

The third proportional to 90,055.50 and 208,461 is: 482,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,055.50 : 208,461 = 208,461 : x
  2. Step 2: Convert to fraction form
    90,055.50/208,461 = 208,461/x
  3. Step 3: Cross multiply
    90,055.50x = 208,461 × 208,461
  4. Step 4: Simplify right side
    90,055.50x = 43,455,988,521
  5. Step 5: Solve for x
    x = 43,455,988,521/90,055.50
  6. Step 6: Final answer
    x = 482,546.75

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.