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Finding the Third Proportional to 69,474,856 and 102,191,495

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Solution

The third proportional to 69,474,856 and 102,191,495 is: 150,314,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,856 : 102,191,495 = 102,191,495 : x
  2. Step 2: Convert to fraction form
    69,474,856/102,191,495 = 102,191,495/x
  3. Step 3: Cross multiply
    69,474,856x = 102,191,495 × 102,191,495
  4. Step 4: Simplify right side
    69,474,856x = 10,443,101,650,335,024
  5. Step 5: Solve for x
    x = 10,443,101,650,335,024/69,474,856
  6. Step 6: Final answer
    x = 150,314,836.93

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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.