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Finding the Third Proportional to 230,598,436.50 and 503,747,145

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Solution

The third proportional to 230,598,436.50 and 503,747,145 is: 1,100,446,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,598,436.50 : 503,747,145 = 503,747,145 : x
  2. Step 2: Convert to fraction form
    230,598,436.50/503,747,145 = 503,747,145/x
  3. Step 3: Cross multiply
    230,598,436.50x = 503,747,145 × 503,747,145
  4. Step 4: Simplify right side
    230,598,436.50x = 253,761,186,095,651,040
  5. Step 5: Solve for x
    x = 253,761,186,095,651,040/230,598,436.50
  6. Step 6: Final answer
    x = 1,100,446,256.04

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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.