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Finding the Third Proportional to 78,305,796 and 117,404,361

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Solution

The third proportional to 78,305,796 and 117,404,361 is: 176,025,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305,796 : 117,404,361 = 117,404,361 : x
  2. Step 2: Convert to fraction form
    78,305,796/117,404,361 = 117,404,361/x
  3. Step 3: Cross multiply
    78,305,796x = 117,404,361 × 117,404,361
  4. Step 4: Simplify right side
    78,305,796x = 13,783,783,981,818,320
  5. Step 5: Solve for x
    x = 13,783,783,981,818,320/78,305,796
  6. Step 6: Final answer
    x = 176,025,079.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.