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Finding the Third Proportional to 51,505,800.75 and 111,957,494.63

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Solution

The third proportional to 51,505,800.75 and 111,957,494.63 is: 243,360,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,505,800.75 : 111,957,494.63 = 111,957,494.63 : x
  2. Step 2: Convert to fraction form
    51,505,800.75/111,957,494.63 = 111,957,494.63/x
  3. Step 3: Cross multiply
    51,505,800.75x = 111,957,494.63 × 111,957,494.63
  4. Step 4: Simplify right side
    51,505,800.75x = 12,534,480,602,706,904
  5. Step 5: Solve for x
    x = 12,534,480,602,706,904/51,505,800.75
  6. Step 6: Final answer
    x = 243,360,561.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.