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Finding the Third Proportional to 97,104,744.75 and 208,060,155.38

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Solution

The third proportional to 97,104,744.75 and 208,060,155.38 is: 445,797,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,744.75 : 208,060,155.38 = 208,060,155.38 : x
  2. Step 2: Convert to fraction form
    97,104,744.75/208,060,155.38 = 208,060,155.38/x
  3. Step 3: Cross multiply
    97,104,744.75x = 208,060,155.38 × 208,060,155.38
  4. Step 4: Simplify right side
    97,104,744.75x = 43,289,028,254,669,144
  5. Step 5: Solve for x
    x = 43,289,028,254,669,144/97,104,744.75
  6. Step 6: Final answer
    x = 445,797,250.86

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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.