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Finding the Third Proportional to 101,538,145.13 and 154,687,969.69

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Solution

The third proportional to 101,538,145.13 and 154,687,969.69 is: 235,658,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,145.13 : 154,687,969.69 = 154,687,969.69 : x
  2. Step 2: Convert to fraction form
    101,538,145.13/154,687,969.69 = 154,687,969.69/x
  3. Step 3: Cross multiply
    101,538,145.13x = 154,687,969.69 × 154,687,969.69
  4. Step 4: Simplify right side
    101,538,145.13x = 23,928,367,966,040,920
  5. Step 5: Solve for x
    x = 23,928,367,966,040,920/101,538,145.13
  6. Step 6: Final answer
    x = 235,658,903.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.