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Finding the Third Proportional to 76,696,749 and 119,001,831

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Solution

The third proportional to 76,696,749 and 119,001,831 is: 184,641,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696,749 : 119,001,831 = 119,001,831 : x
  2. Step 2: Convert to fraction form
    76,696,749/119,001,831 = 119,001,831/x
  3. Step 3: Cross multiply
    76,696,749x = 119,001,831 × 119,001,831
  4. Step 4: Simplify right side
    76,696,749x = 14,161,435,781,352,560
  5. Step 5: Solve for x
    x = 14,161,435,781,352,560/76,696,749
  6. Step 6: Final answer
    x = 184,641,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.