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Finding the Third Proportional to 65,710,734 and 102,150,189

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Solution

The third proportional to 65,710,734 and 102,150,189 is: 158,796,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710,734 : 102,150,189 = 102,150,189 : x
  2. Step 2: Convert to fraction form
    65,710,734/102,150,189 = 102,150,189/x
  3. Step 3: Cross multiply
    65,710,734x = 102,150,189 × 102,150,189
  4. Step 4: Simplify right side
    65,710,734x = 10,434,661,112,735,720
  5. Step 5: Solve for x
    x = 10,434,661,112,735,720/65,710,734
  6. Step 6: Final answer
    x = 158,796,903.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.