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Finding the Third Proportional to 69,190,139 and 97,324,648

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Solution

The third proportional to 69,190,139 and 97,324,648 is: 136,899,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,190,139 : 97,324,648 = 97,324,648 : x
  2. Step 2: Convert to fraction form
    69,190,139/97,324,648 = 97,324,648/x
  3. Step 3: Cross multiply
    69,190,139x = 97,324,648 × 97,324,648
  4. Step 4: Simplify right side
    69,190,139x = 9,472,087,108,323,904
  5. Step 5: Solve for x
    x = 9,472,087,108,323,904/69,190,139
  6. Step 6: Final answer
    x = 136,899,379.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.