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Finding the Third Proportional to 105,154 and 228,056

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Solution

The third proportional to 105,154 and 228,056 is: 494,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154 : 228,056 = 228,056 : x
  2. Step 2: Convert to fraction form
    105,154/228,056 = 228,056/x
  3. Step 3: Cross multiply
    105,154x = 228,056 × 228,056
  4. Step 4: Simplify right side
    105,154x = 52,009,539,136
  5. Step 5: Solve for x
    x = 52,009,539,136/105,154
  6. Step 6: Final answer
    x = 494,603.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.