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Finding the Third Proportional to 76,119,456 and 115,963,704

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Solution

The third proportional to 76,119,456 and 115,963,704 is: 176,664,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,119,456 : 115,963,704 = 115,963,704 : x
  2. Step 2: Convert to fraction form
    76,119,456/115,963,704 = 115,963,704/x
  3. Step 3: Cross multiply
    76,119,456x = 115,963,704 × 115,963,704
  4. Step 4: Simplify right side
    76,119,456x = 13,447,580,645,399,616
  5. Step 5: Solve for x
    x = 13,447,580,645,399,616/76,119,456
  6. Step 6: Final answer
    x = 176,664,171.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.