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Finding the Third Proportional to 78,104,288.06 and 167,963,017.69

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Solution

The third proportional to 78,104,288.06 and 167,963,017.69 is: 361,203,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104,288.06 : 167,963,017.69 = 167,963,017.69 : x
  2. Step 2: Convert to fraction form
    78,104,288.06/167,963,017.69 = 167,963,017.69/x
  3. Step 3: Cross multiply
    78,104,288.06x = 167,963,017.69 × 167,963,017.69
  4. Step 4: Simplify right side
    78,104,288.06x = 28,211,575,310,691,436
  5. Step 5: Solve for x
    x = 28,211,575,310,691,436/78,104,288.06
  6. Step 6: Final answer
    x = 361,203,923.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.