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Finding the Third Proportional to 234,568,702.50 and 318,213,703.50

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Solution

The third proportional to 234,568,702.50 and 318,213,703.50 is: 431,685,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,568,702.50 : 318,213,703.50 = 318,213,703.50 : x
  2. Step 2: Convert to fraction form
    234,568,702.50/318,213,703.50 = 318,213,703.50/x
  3. Step 3: Cross multiply
    234,568,702.50x = 318,213,703.50 × 318,213,703.50
  4. Step 4: Simplify right side
    234,568,702.50x = 101,259,961,095,185,920
  5. Step 5: Solve for x
    x = 101,259,961,095,185,920/234,568,702.50
  6. Step 6: Final answer
    x = 431,685,727.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.