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Finding the Third Proportional to 69,474,834 and 102,191,463

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Solution

The third proportional to 69,474,834 and 102,191,463 is: 150,314,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,834 : 102,191,463 = 102,191,463 : x
  2. Step 2: Convert to fraction form
    69,474,834/102,191,463 = 102,191,463/x
  3. Step 3: Cross multiply
    69,474,834x = 102,191,463 × 102,191,463
  4. Step 4: Simplify right side
    69,474,834x = 10,443,095,110,080,368
  5. Step 5: Solve for x
    x = 10,443,095,110,080,368/69,474,834
  6. Step 6: Final answer
    x = 150,314,790.39

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