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Finding the Third Proportional to 69,474,836 and 102,191,466

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Solution

The third proportional to 69,474,836 and 102,191,466 is: 150,314,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,836 : 102,191,466 = 102,191,466 : x
  2. Step 2: Convert to fraction form
    69,474,836/102,191,466 = 102,191,466/x
  3. Step 3: Cross multiply
    69,474,836x = 102,191,466 × 102,191,466
  4. Step 4: Simplify right side
    69,474,836x = 10,443,095,723,229,156
  5. Step 5: Solve for x
    x = 10,443,095,723,229,156/69,474,836
  6. Step 6: Final answer
    x = 150,314,794.89

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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.