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Finding the Third Proportional to 77,008,868.96 and 181,606,697.37

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Solution

The third proportional to 77,008,868.96 and 181,606,697.37 is: 428,275,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,008,868.96 : 181,606,697.37 = 181,606,697.37 : x
  2. Step 2: Convert to fraction form
    77,008,868.96/181,606,697.37 = 181,606,697.37/x
  3. Step 3: Cross multiply
    77,008,868.96x = 181,606,697.37 × 181,606,697.37
  4. Step 4: Simplify right side
    77,008,868.96x = 32,980,992,528,614,500
  5. Step 5: Solve for x
    x = 32,980,992,528,614,500/77,008,868.96
  6. Step 6: Final answer
    x = 428,275,248.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.