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Finding the Third Proportional to 98,076,069 and 208,107,017

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Solution

The third proportional to 98,076,069 and 208,107,017 is: 441,581,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076,069 : 208,107,017 = 208,107,017 : x
  2. Step 2: Convert to fraction form
    98,076,069/208,107,017 = 208,107,017/x
  3. Step 3: Cross multiply
    98,076,069x = 208,107,017 × 208,107,017
  4. Step 4: Simplify right side
    98,076,069x = 43,308,530,524,638,288
  5. Step 5: Solve for x
    x = 43,308,530,524,638,288/98,076,069
  6. Step 6: Final answer
    x = 441,581,019.37

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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.