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Finding the Third Proportional to 230,929,568.50 and 502,514,373.50

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Solution

The third proportional to 230,929,568.50 and 502,514,373.50 is: 1,093,496,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,929,568.50 : 502,514,373.50 = 502,514,373.50 : x
  2. Step 2: Convert to fraction form
    230,929,568.50/502,514,373.50 = 502,514,373.50/x
  3. Step 3: Cross multiply
    230,929,568.50x = 502,514,373.50 × 502,514,373.50
  4. Step 4: Simplify right side
    230,929,568.50x = 252,520,695,574,097,504
  5. Step 5: Solve for x
    x = 252,520,695,574,097,504/230,929,568.50
  6. Step 6: Final answer
    x = 1,093,496,589.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.