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Finding the Third Proportional to 117,698,685.75 and 161,568,165

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Solution

The third proportional to 117,698,685.75 and 161,568,165 is: 221,788,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698,685.75 : 161,568,165 = 161,568,165 : x
  2. Step 2: Convert to fraction form
    117,698,685.75/161,568,165 = 161,568,165/x
  3. Step 3: Cross multiply
    117,698,685.75x = 161,568,165 × 161,568,165
  4. Step 4: Simplify right side
    117,698,685.75x = 26,104,271,941,467,224
  5. Step 5: Solve for x
    x = 26,104,271,941,467,224/117,698,685.75
  6. Step 6: Final answer
    x = 221,788,984.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.