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Finding the Third Proportional to 201,913,847 and 439,204,848

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Solution

The third proportional to 201,913,847 and 439,204,848 is: 955,362,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913,847 : 439,204,848 = 439,204,848 : x
  2. Step 2: Convert to fraction form
    201,913,847/439,204,848 = 439,204,848/x
  3. Step 3: Cross multiply
    201,913,847x = 439,204,848 × 439,204,848
  4. Step 4: Simplify right side
    201,913,847x = 192,900,898,506,703,104
  5. Step 5: Solve for x
    x = 192,900,898,506,703,104/201,913,847
  6. Step 6: Final answer
    x = 955,362,405.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.