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Finding the Third Proportional to 97,105,317.75 and 208,027,008

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Solution

The third proportional to 97,105,317.75 and 208,027,008 is: 445,652,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105,317.75 : 208,027,008 = 208,027,008 : x
  2. Step 2: Convert to fraction form
    97,105,317.75/208,027,008 = 208,027,008/x
  3. Step 3: Cross multiply
    97,105,317.75x = 208,027,008 × 208,027,008
  4. Step 4: Simplify right side
    97,105,317.75x = 43,275,236,057,432,064
  5. Step 5: Solve for x
    x = 43,275,236,057,432,064/97,105,317.75
  6. Step 6: Final answer
    x = 445,652,586.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.