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Finding the Third Proportional to 66,085,308 and 143,153,914.50

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Solution

The third proportional to 66,085,308 and 143,153,914.50 is: 310,099,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085,308 : 143,153,914.50 = 143,153,914.50 : x
  2. Step 2: Convert to fraction form
    66,085,308/143,153,914.50 = 143,153,914.50/x
  3. Step 3: Cross multiply
    66,085,308x = 143,153,914.50 × 143,153,914.50
  4. Step 4: Simplify right side
    66,085,308x = 20,493,043,236,673,312
  5. Step 5: Solve for x
    x = 20,493,043,236,673,312/66,085,308
  6. Step 6: Final answer
    x = 310,099,836.97

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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.