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Finding the Third Proportional to 116,758,505 and 164,235,542

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Solution

The third proportional to 116,758,505 and 164,235,542 is: 231,017,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,758,505 : 164,235,542 = 164,235,542 : x
  2. Step 2: Convert to fraction form
    116,758,505/164,235,542 = 164,235,542/x
  3. Step 3: Cross multiply
    116,758,505x = 164,235,542 × 164,235,542
  4. Step 4: Simplify right side
    116,758,505x = 26,973,313,256,033,764
  5. Step 5: Solve for x
    x = 26,973,313,256,033,764/116,758,505
  6. Step 6: Final answer
    x = 231,017,973.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.