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Finding the Third Proportional to 107,809,357 and 234,508,062

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Solution

The third proportional to 107,809,357 and 234,508,062 is: 510,104,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809,357 : 234,508,062 = 234,508,062 : x
  2. Step 2: Convert to fraction form
    107,809,357/234,508,062 = 234,508,062/x
  3. Step 3: Cross multiply
    107,809,357x = 234,508,062 × 234,508,062
  4. Step 4: Simplify right side
    107,809,357x = 54,994,031,142,995,840
  5. Step 5: Solve for x
    x = 54,994,031,142,995,840/107,809,357
  6. Step 6: Final answer
    x = 510,104,435.03

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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.