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Finding the Third Proportional to 143,863,336.50 and 210,333,229.50

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Solution

The third proportional to 143,863,336.50 and 210,333,229.50 is: 307,514,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,863,336.50 : 210,333,229.50 = 210,333,229.50 : x
  2. Step 2: Convert to fraction form
    143,863,336.50/210,333,229.50 = 210,333,229.50/x
  3. Step 3: Cross multiply
    143,863,336.50x = 210,333,229.50 × 210,333,229.50
  4. Step 4: Simplify right side
    143,863,336.50x = 44,240,067,431,899,672
  5. Step 5: Solve for x
    x = 44,240,067,431,899,672/143,863,336.50
  6. Step 6: Final answer
    x = 307,514,537.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.