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Finding the Third Proportional to 98,076,067 and 208,107,013

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Solution

The third proportional to 98,076,067 and 208,107,013 is: 441,581,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076,067 : 208,107,013 = 208,107,013 : x
  2. Step 2: Convert to fraction form
    98,076,067/208,107,013 = 208,107,013/x
  3. Step 3: Cross multiply
    98,076,067x = 208,107,013 × 208,107,013
  4. Step 4: Simplify right side
    98,076,067x = 43,308,528,859,782,168
  5. Step 5: Solve for x
    x = 43,308,528,859,782,168/98,076,067
  6. Step 6: Final answer
    x = 441,581,011.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.