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Finding the Third Proportional to 101,949,750 and 151,012,611

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Solution

The third proportional to 101,949,750 and 151,012,611 is: 223,686,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,949,750 : 151,012,611 = 151,012,611 : x
  2. Step 2: Convert to fraction form
    101,949,750/151,012,611 = 151,012,611/x
  3. Step 3: Cross multiply
    101,949,750x = 151,012,611 × 151,012,611
  4. Step 4: Simplify right side
    101,949,750x = 22,804,808,681,037,320
  5. Step 5: Solve for x
    x = 22,804,808,681,037,320/101,949,750
  6. Step 6: Final answer
    x = 223,686,754.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.