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Finding the Third Proportional to 230,544,318.94 and 337,170,025.13

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Solution

The third proportional to 230,544,318.94 and 337,170,025.13 is: 493,109,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,544,318.94 : 337,170,025.13 = 337,170,025.13 : x
  2. Step 2: Convert to fraction form
    230,544,318.94/337,170,025.13 = 337,170,025.13/x
  3. Step 3: Cross multiply
    230,544,318.94x = 337,170,025.13 × 337,170,025.13
  4. Step 4: Simplify right side
    230,544,318.94x = 113,683,625,842,793,136
  5. Step 5: Solve for x
    x = 113,683,625,842,793,136/230,544,318.94
  6. Step 6: Final answer
    x = 493,109,638.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.