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Finding the Third Proportional to 130,936,314 and 196,951,132

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Solution

The third proportional to 130,936,314 and 196,951,132 is: 296,248,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,936,314 : 196,951,132 = 196,951,132 : x
  2. Step 2: Convert to fraction form
    130,936,314/196,951,132 = 196,951,132/x
  3. Step 3: Cross multiply
    130,936,314x = 196,951,132 × 196,951,132
  4. Step 4: Simplify right side
    130,936,314x = 38,789,748,396,081,424
  5. Step 5: Solve for x
    x = 38,789,748,396,081,424/130,936,314
  6. Step 6: Final answer
    x = 296,248,971.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.