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Finding the Third Proportional to 96,956,170 and 154,351,025

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Solution

The third proportional to 96,956,170 and 154,351,025 is: 245,721,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,956,170 : 154,351,025 = 154,351,025 : x
  2. Step 2: Convert to fraction form
    96,956,170/154,351,025 = 154,351,025/x
  3. Step 3: Cross multiply
    96,956,170x = 154,351,025 × 154,351,025
  4. Step 4: Simplify right side
    96,956,170x = 23,824,238,918,550,624
  5. Step 5: Solve for x
    x = 23,824,238,918,550,624/96,956,170
  6. Step 6: Final answer
    x = 245,721,741.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.