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Finding the Third Proportional to 101,538,148 and 154,687,973

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Solution

The third proportional to 101,538,148 and 154,687,973 is: 235,658,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,148 : 154,687,973 = 154,687,973 : x
  2. Step 2: Convert to fraction form
    101,538,148/154,687,973 = 154,687,973/x
  3. Step 3: Cross multiply
    101,538,148x = 154,687,973 × 154,687,973
  4. Step 4: Simplify right side
    101,538,148x = 23,928,368,990,848,728
  5. Step 5: Solve for x
    x = 23,928,368,990,848,728/101,538,148
  6. Step 6: Final answer
    x = 235,658,907.14

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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.