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Finding the Third Proportional to 66,085,942.50 and 92,899,257.75

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Solution

The third proportional to 66,085,942.50 and 92,899,257.75 is: 130,591,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085,942.50 : 92,899,257.75 = 92,899,257.75 : x
  2. Step 2: Convert to fraction form
    66,085,942.50/92,899,257.75 = 92,899,257.75/x
  3. Step 3: Cross multiply
    66,085,942.50x = 92,899,257.75 × 92,899,257.75
  4. Step 4: Simplify right side
    66,085,942.50x = 8,630,272,090,500,935
  5. Step 5: Solve for x
    x = 8,630,272,090,500,935/66,085,942.50
  6. Step 6: Final answer
    x = 130,591,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.