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Finding the Third Proportional to 151,378,140 and 331,414,710

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Solution

The third proportional to 151,378,140 and 331,414,710 is: 725,571,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,378,140 : 331,414,710 = 331,414,710 : x
  2. Step 2: Convert to fraction form
    151,378,140/331,414,710 = 331,414,710/x
  3. Step 3: Cross multiply
    151,378,140x = 331,414,710 × 331,414,710
  4. Step 4: Simplify right side
    151,378,140x = 109,835,710,004,384,096
  5. Step 5: Solve for x
    x = 109,835,710,004,384,096/151,378,140
  6. Step 6: Final answer
    x = 725,571,803.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.