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Finding the Third Proportional to 69,474,858 and 102,191,498

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Solution

The third proportional to 69,474,858 and 102,191,498 is: 150,314,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,858 : 102,191,498 = 102,191,498 : x
  2. Step 2: Convert to fraction form
    69,474,858/102,191,498 = 102,191,498/x
  3. Step 3: Cross multiply
    69,474,858x = 102,191,498 × 102,191,498
  4. Step 4: Simplify right side
    69,474,858x = 10,443,102,263,484,004
  5. Step 5: Solve for x
    x = 10,443,102,263,484,004/69,474,858
  6. Step 6: Final answer
    x = 150,314,841.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.