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Finding the Third Proportional to 22,909,164.19 and 50,101,147.69

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Solution

The third proportional to 22,909,164.19 and 50,101,147.69 is: 109,568,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909,164.19 : 50,101,147.69 = 50,101,147.69 : x
  2. Step 2: Convert to fraction form
    22,909,164.19/50,101,147.69 = 50,101,147.69/x
  3. Step 3: Cross multiply
    22,909,164.19x = 50,101,147.69 × 50,101,147.69
  4. Step 4: Simplify right side
    22,909,164.19x = 2,510,124,999,604,686.50
  5. Step 5: Solve for x
    x = 2,510,124,999,604,686.50/22,909,164.19
  6. Step 6: Final answer
    x = 109,568,597.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.