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Finding the Third Proportional to 107,862,318 and 235,903,986

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Solution

The third proportional to 107,862,318 and 235,903,986 is: 515,941,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862,318 : 235,903,986 = 235,903,986 : x
  2. Step 2: Convert to fraction form
    107,862,318/235,903,986 = 235,903,986/x
  3. Step 3: Cross multiply
    107,862,318x = 235,903,986 × 235,903,986
  4. Step 4: Simplify right side
    107,862,318x = 55,650,690,610,688,192
  5. Step 5: Solve for x
    x = 55,650,690,610,688,192/107,862,318
  6. Step 6: Final answer
    x = 515,941,912.27

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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.