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Finding the Third Proportional to 105,439,821 and 229,015,056

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Solution

The third proportional to 105,439,821 and 229,015,056 is: 497,420,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,439,821 : 229,015,056 = 229,015,056 : x
  2. Step 2: Convert to fraction form
    105,439,821/229,015,056 = 229,015,056/x
  3. Step 3: Cross multiply
    105,439,821x = 229,015,056 × 229,015,056
  4. Step 4: Simplify right side
    105,439,821x = 52,447,895,874,683,136
  5. Step 5: Solve for x
    x = 52,447,895,874,683,136/105,439,821
  6. Step 6: Final answer
    x = 497,420,190.75

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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.