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Finding the Third Proportional to 143,080,069.50 and 309,929,863.50

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Solution

The third proportional to 143,080,069.50 and 309,929,863.50 is: 671,348,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,080,069.50 : 309,929,863.50 = 309,929,863.50 : x
  2. Step 2: Convert to fraction form
    143,080,069.50/309,929,863.50 = 309,929,863.50/x
  3. Step 3: Cross multiply
    143,080,069.50x = 309,929,863.50 × 309,929,863.50
  4. Step 4: Simplify right side
    143,080,069.50x = 96,056,520,289,128,640
  5. Step 5: Solve for x
    x = 96,056,520,289,128,640/143,080,069.50
  6. Step 6: Final answer
    x = 671,348,012.51

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