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Finding the Third Proportional to 108,810,092.25 and 229,901,404.50

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Solution

The third proportional to 108,810,092.25 and 229,901,404.50 is: 485,751,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,810,092.25 : 229,901,404.50 = 229,901,404.50 : x
  2. Step 2: Convert to fraction form
    108,810,092.25/229,901,404.50 = 229,901,404.50/x
  3. Step 3: Cross multiply
    108,810,092.25x = 229,901,404.50 × 229,901,404.50
  4. Step 4: Simplify right side
    108,810,092.25x = 52,854,655,791,072,624
  5. Step 5: Solve for x
    x = 52,854,655,791,072,624/108,810,092.25
  6. Step 6: Final answer
    x = 485,751,410.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.