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Finding the Third Proportional to 135,747,700.50 and 287,783,893.50

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Solution

The third proportional to 135,747,700.50 and 287,783,893.50 is: 610,099,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,747,700.50 : 287,783,893.50 = 287,783,893.50 : x
  2. Step 2: Convert to fraction form
    135,747,700.50/287,783,893.50 = 287,783,893.50/x
  3. Step 3: Cross multiply
    135,747,700.50x = 287,783,893.50 × 287,783,893.50
  4. Step 4: Simplify right side
    135,747,700.50x = 82,819,569,358,019,344
  5. Step 5: Solve for x
    x = 82,819,569,358,019,344/135,747,700.50
  6. Step 6: Final answer
    x = 610,099,243.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.