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Finding the Third Proportional to 38,397,996.21 and 83,967,216.68

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Solution

The third proportional to 38,397,996.21 and 83,967,216.68 is: 183,616,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,397,996.21 : 83,967,216.68 = 83,967,216.68 : x
  2. Step 2: Convert to fraction form
    38,397,996.21/83,967,216.68 = 83,967,216.68/x
  3. Step 3: Cross multiply
    38,397,996.21x = 83,967,216.68 × 83,967,216.68
  4. Step 4: Simplify right side
    38,397,996.21x = 7,050,493,476,934,011
  5. Step 5: Solve for x
    x = 7,050,493,476,934,011/38,397,996.21
  6. Step 6: Final answer
    x = 183,616,182.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.