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Finding the Third Proportional to 187,355,908.13 and 405,987,935.63

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Solution

The third proportional to 187,355,908.13 and 405,987,935.63 is: 879,749,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,355,908.13 : 405,987,935.63 = 405,987,935.63 : x
  2. Step 2: Convert to fraction form
    187,355,908.13/405,987,935.63 = 405,987,935.63/x
  3. Step 3: Cross multiply
    187,355,908.13x = 405,987,935.63 × 405,987,935.63
  4. Step 4: Simplify right side
    187,355,908.13x = 164,826,203,873,049,152
  5. Step 5: Solve for x
    x = 164,826,203,873,049,152/187,355,908.13
  6. Step 6: Final answer
    x = 879,749,165.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.