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Finding the Third Proportional to 131,016,174.50 and 280,437,007

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Solution

The third proportional to 131,016,174.50 and 280,437,007 is: 600,268,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016,174.50 : 280,437,007 = 280,437,007 : x
  2. Step 2: Convert to fraction form
    131,016,174.50/280,437,007 = 280,437,007/x
  3. Step 3: Cross multiply
    131,016,174.50x = 280,437,007 × 280,437,007
  4. Step 4: Simplify right side
    131,016,174.50x = 78,644,914,895,118,048
  5. Step 5: Solve for x
    x = 78,644,914,895,118,048/131,016,174.50
  6. Step 6: Final answer
    x = 600,268,746.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.