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Finding the Third Proportional to 107,405,136 and 159,094,350

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Solution

The third proportional to 107,405,136 and 159,094,350 is: 235,659,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,405,136 : 159,094,350 = 159,094,350 : x
  2. Step 2: Convert to fraction form
    107,405,136/159,094,350 = 159,094,350/x
  3. Step 3: Cross multiply
    107,405,136x = 159,094,350 × 159,094,350
  4. Step 4: Simplify right side
    107,405,136x = 25,311,012,201,922,500
  5. Step 5: Solve for x
    x = 25,311,012,201,922,500/107,405,136
  6. Step 6: Final answer
    x = 235,659,235.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.