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Finding the Third Proportional to 73,923,512.63 and 114,917,430.38

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Solution

The third proportional to 73,923,512.63 and 114,917,430.38 is: 178,644,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923,512.63 : 114,917,430.38 = 114,917,430.38 : x
  2. Step 2: Convert to fraction form
    73,923,512.63/114,917,430.38 = 114,917,430.38/x
  3. Step 3: Cross multiply
    73,923,512.63x = 114,917,430.38 × 114,917,430.38
  4. Step 4: Simplify right side
    73,923,512.63x = 13,206,015,803,992,972
  5. Step 5: Solve for x
    x = 13,206,015,803,992,972/73,923,512.63
  6. Step 6: Final answer
    x = 178,644,322.15

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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.