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Finding the Third Proportional to 115,273,588.50 and 178,296,950.25

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Solution

The third proportional to 115,273,588.50 and 178,296,950.25 is: 275,776,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,273,588.50 : 178,296,950.25 = 178,296,950.25 : x
  2. Step 2: Convert to fraction form
    115,273,588.50/178,296,950.25 = 178,296,950.25/x
  3. Step 3: Cross multiply
    115,273,588.50x = 178,296,950.25 × 178,296,950.25
  4. Step 4: Simplify right side
    115,273,588.50x = 31,789,802,468,450,976
  5. Step 5: Solve for x
    x = 31,789,802,468,450,976/115,273,588.50
  6. Step 6: Final answer
    x = 275,776,983.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.