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Finding the Third Proportional to 97,080,203 and 208,568,357

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Solution

The third proportional to 97,080,203 and 208,568,357 is: 448,090,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,080,203 : 208,568,357 = 208,568,357 : x
  2. Step 2: Convert to fraction form
    97,080,203/208,568,357 = 208,568,357/x
  3. Step 3: Cross multiply
    97,080,203x = 208,568,357 × 208,568,357
  4. Step 4: Simplify right side
    97,080,203x = 43,500,759,541,679,448
  5. Step 5: Solve for x
    x = 43,500,759,541,679,448/97,080,203
  6. Step 6: Final answer
    x = 448,090,941.28

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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.