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Finding the Third Proportional to 103,492,687.50 and 227,984,625

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Solution

The third proportional to 103,492,687.50 and 227,984,625 is: 502,228,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,492,687.50 : 227,984,625 = 227,984,625 : x
  2. Step 2: Convert to fraction form
    103,492,687.50/227,984,625 = 227,984,625/x
  3. Step 3: Cross multiply
    103,492,687.50x = 227,984,625 × 227,984,625
  4. Step 4: Simplify right side
    103,492,687.50x = 51,976,989,236,390,624
  5. Step 5: Solve for x
    x = 51,976,989,236,390,624/103,492,687.50
  6. Step 6: Final answer
    x = 502,228,616.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.