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Finding the Third Proportional to 101,538,154 and 154,687,982

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Solution

The third proportional to 101,538,154 and 154,687,982 is: 235,658,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,154 : 154,687,982 = 154,687,982 : x
  2. Step 2: Convert to fraction form
    101,538,154/154,687,982 = 154,687,982/x
  3. Step 3: Cross multiply
    101,538,154x = 154,687,982 × 154,687,982
  4. Step 4: Simplify right side
    101,538,154x = 23,928,371,775,232,324
  5. Step 5: Solve for x
    x = 23,928,371,775,232,324/101,538,154
  6. Step 6: Final answer
    x = 235,658,920.64

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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.