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Finding the Third Proportional to 105,271,269 and 234,747,813

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Solution

The third proportional to 105,271,269 and 234,747,813 is: 523,471,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,271,269 : 234,747,813 = 234,747,813 : x
  2. Step 2: Convert to fraction form
    105,271,269/234,747,813 = 234,747,813/x
  3. Step 3: Cross multiply
    105,271,269x = 234,747,813 × 234,747,813
  4. Step 4: Simplify right side
    105,271,269x = 55,106,535,708,282,968
  5. Step 5: Solve for x
    x = 55,106,535,708,282,968/105,271,269
  6. Step 6: Final answer
    x = 523,471,752.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.