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Finding the Third Proportional to 103,322 and 151,444

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Solution

The third proportional to 103,322 and 151,444 is: 221,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322 : 151,444 = 151,444 : x
  2. Step 2: Convert to fraction form
    103,322/151,444 = 151,444/x
  3. Step 3: Cross multiply
    103,322x = 151,444 × 151,444
  4. Step 4: Simplify right side
    103,322x = 22,935,285,136
  5. Step 5: Solve for x
    x = 22,935,285,136/103,322
  6. Step 6: Final answer
    x = 221,978.72

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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.