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Finding the Third Proportional to 213,240,731.63 and 327,620,816.44

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Solution

The third proportional to 213,240,731.63 and 327,620,816.44 is: 503,353,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,240,731.63 : 327,620,816.44 = 327,620,816.44 : x
  2. Step 2: Convert to fraction form
    213,240,731.63/327,620,816.44 = 327,620,816.44/x
  3. Step 3: Cross multiply
    213,240,731.63x = 327,620,816.44 × 327,620,816.44
  4. Step 4: Simplify right side
    213,240,731.63x = 107,335,399,363,174,064
  5. Step 5: Solve for x
    x = 107,335,399,363,174,064/213,240,731.63
  6. Step 6: Final answer
    x = 503,353,175.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.