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Finding the Third Proportional to 250,390,443 and 535,239,217.50

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Solution

The third proportional to 250,390,443 and 535,239,217.50 is: 1,144,137,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,390,443 : 535,239,217.50 = 535,239,217.50 : x
  2. Step 2: Convert to fraction form
    250,390,443/535,239,217.50 = 535,239,217.50/x
  3. Step 3: Cross multiply
    250,390,443x = 535,239,217.50 × 535,239,217.50
  4. Step 4: Simplify right side
    250,390,443x = 286,481,019,950,012,320
  5. Step 5: Solve for x
    x = 286,481,019,950,012,320/250,390,443
  6. Step 6: Final answer
    x = 1,144,137,198.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.