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Finding the Third Proportional to 66,085,296.50 and 143,153,889.50

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Solution

The third proportional to 66,085,296.50 and 143,153,889.50 is: 310,099,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085,296.50 : 143,153,889.50 = 143,153,889.50 : x
  2. Step 2: Convert to fraction form
    66,085,296.50/143,153,889.50 = 143,153,889.50/x
  3. Step 3: Cross multiply
    66,085,296.50x = 143,153,889.50 × 143,153,889.50
  4. Step 4: Simplify right side
    66,085,296.50x = 20,493,036,078,978,212
  5. Step 5: Solve for x
    x = 20,493,036,078,978,212/66,085,296.50
  6. Step 6: Final answer
    x = 310,099,782.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.