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Finding the Third Proportional to 97,104,777.38 and 208,060,216.13

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Solution

The third proportional to 97,104,777.38 and 208,060,216.13 is: 445,797,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,777.38 : 208,060,216.13 = 208,060,216.13 : x
  2. Step 2: Convert to fraction form
    97,104,777.38/208,060,216.13 = 208,060,216.13/x
  3. Step 3: Cross multiply
    97,104,777.38x = 208,060,216.13 × 208,060,216.13
  4. Step 4: Simplify right side
    97,104,777.38x = 43,289,053,533,981,712
  5. Step 5: Solve for x
    x = 43,289,053,533,981,712/97,104,777.38
  6. Step 6: Final answer
    x = 445,797,361.41

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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.