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Finding the Third Proportional to 106,692,272,442 and 231,980,019,788.24

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Solution

The third proportional to 106,692,272,442 and 231,980,019,788.24 is: 504,392,008,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692,272,442 : 231,980,019,788.24 = 231,980,019,788.24 : x
  2. Step 2: Convert to fraction form
    106,692,272,442/231,980,019,788.24 = 231,980,019,788.24/x
  3. Step 3: Cross multiply
    106,692,272,442x = 231,980,019,788.24 × 231,980,019,788.24
  4. Step 4: Simplify right side
    106,692,272,442x = 53,814,729,580,952,219,025,408
  5. Step 5: Solve for x
    x = 53,814,729,580,952,219,025,408/106,692,272,442
  6. Step 6: Final answer
    x = 504,392,008,429.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.