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Finding the Third Proportional to 109,196 and 230,056

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Solution

The third proportional to 109,196 and 230,056 is: 484,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,196 : 230,056 = 230,056 : x
  2. Step 2: Convert to fraction form
    109,196/230,056 = 230,056/x
  3. Step 3: Cross multiply
    109,196x = 230,056 × 230,056
  4. Step 4: Simplify right side
    109,196x = 52,925,763,136
  5. Step 5: Solve for x
    x = 52,925,763,136/109,196
  6. Step 6: Final answer
    x = 484,685.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.