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Finding the Third Proportional to 231,225,745.50 and 338,156,606.25

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Solution

The third proportional to 231,225,745.50 and 338,156,606.25 is: 494,537,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,225,745.50 : 338,156,606.25 = 338,156,606.25 : x
  2. Step 2: Convert to fraction form
    231,225,745.50/338,156,606.25 = 338,156,606.25/x
  3. Step 3: Cross multiply
    231,225,745.50x = 338,156,606.25 × 338,156,606.25
  4. Step 4: Simplify right side
    231,225,745.50x = 114,349,890,350,517,536
  5. Step 5: Solve for x
    x = 114,349,890,350,517,536/231,225,745.50
  6. Step 6: Final answer
    x = 494,537,881.60

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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.