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Finding the Third Proportional to 103,485 and 151,820.25

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Solution

The third proportional to 103,485 and 151,820.25 is: 222,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485 : 151,820.25 = 151,820.25 : x
  2. Step 2: Convert to fraction form
    103,485/151,820.25 = 151,820.25/x
  3. Step 3: Cross multiply
    103,485x = 151,820.25 × 151,820.25
  4. Step 4: Simplify right side
    103,485x = 23,049,388,310.06
  5. Step 5: Solve for x
    x = 23,049,388,310.06/103,485
  6. Step 6: Final answer
    x = 222,731.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.