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Finding the Third Proportional to 50,521,116 and 106,323,576

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Solution

The third proportional to 50,521,116 and 106,323,576 is: 223,761,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,521,116 : 106,323,576 = 106,323,576 : x
  2. Step 2: Convert to fraction form
    50,521,116/106,323,576 = 106,323,576/x
  3. Step 3: Cross multiply
    50,521,116x = 106,323,576 × 106,323,576
  4. Step 4: Simplify right side
    50,521,116x = 11,304,702,813,427,776
  5. Step 5: Solve for x
    x = 11,304,702,813,427,776/50,521,116
  6. Step 6: Final answer
    x = 223,761,937.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.