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Finding the Third Proportional to 107,956,920 and 235,081,680

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Solution

The third proportional to 107,956,920 and 235,081,680 is: 511,902,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,956,920 : 235,081,680 = 235,081,680 : x
  2. Step 2: Convert to fraction form
    107,956,920/235,081,680 = 235,081,680/x
  3. Step 3: Cross multiply
    107,956,920x = 235,081,680 × 235,081,680
  4. Step 4: Simplify right side
    107,956,920x = 55,263,396,271,622,400
  5. Step 5: Solve for x
    x = 55,263,396,271,622,400/107,956,920
  6. Step 6: Final answer
    x = 511,902,305.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.