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Finding the Third Proportional to 97,080,201 and 208,568,352.94

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Solution

The third proportional to 97,080,201 and 208,568,352.94 is: 448,090,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,080,201 : 208,568,352.94 = 208,568,352.94 : x
  2. Step 2: Convert to fraction form
    97,080,201/208,568,352.94 = 208,568,352.94/x
  3. Step 3: Cross multiply
    97,080,201x = 208,568,352.94 × 208,568,352.94
  4. Step 4: Simplify right side
    97,080,201x = 43,500,757,847,061,568
  5. Step 5: Solve for x
    x = 43,500,757,847,061,568/97,080,201
  6. Step 6: Final answer
    x = 448,090,933.05

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Why These Related Problems?

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