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Finding the Third Proportional to 105,633,138 and 223,983,920

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Solution

The third proportional to 105,633,138 and 223,983,920 is: 474,934,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633,138 : 223,983,920 = 223,983,920 : x
  2. Step 2: Convert to fraction form
    105,633,138/223,983,920 = 223,983,920/x
  3. Step 3: Cross multiply
    105,633,138x = 223,983,920 × 223,983,920
  4. Step 4: Simplify right side
    105,633,138x = 50,168,796,418,566,400
  5. Step 5: Solve for x
    x = 50,168,796,418,566,400/105,633,138
  6. Step 6: Final answer
    x = 474,934,261.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.