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Finding the Third Proportional to 42,683,962.50 and 91,841,736.09

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Solution

The third proportional to 42,683,962.50 and 91,841,736.09 is: 197,612,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683,962.50 : 91,841,736.09 = 91,841,736.09 : x
  2. Step 2: Convert to fraction form
    42,683,962.50/91,841,736.09 = 91,841,736.09/x
  3. Step 3: Cross multiply
    42,683,962.50x = 91,841,736.09 × 91,841,736.09
  4. Step 4: Simplify right side
    42,683,962.50x = 8,434,904,488,714,022
  5. Step 5: Solve for x
    x = 8,434,904,488,714,022/42,683,962.50
  6. Step 6: Final answer
    x = 197,612,967.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.