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Finding the Third Proportional to 107,435,709 and 230,187,200

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Solution

The third proportional to 107,435,709 and 230,187,200 is: 493,189,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,709 : 230,187,200 = 230,187,200 : x
  2. Step 2: Convert to fraction form
    107,435,709/230,187,200 = 230,187,200/x
  3. Step 3: Cross multiply
    107,435,709x = 230,187,200 × 230,187,200
  4. Step 4: Simplify right side
    107,435,709x = 52,986,147,043,840,000
  5. Step 5: Solve for x
    x = 52,986,147,043,840,000/107,435,709
  6. Step 6: Final answer
    x = 493,189,345.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.