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Finding the Third Proportional to 248,966,469 and 400,021,267.50

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Solution

The third proportional to 248,966,469 and 400,021,267.50 is: 642,725,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,966,469 : 400,021,267.50 = 400,021,267.50 : x
  2. Step 2: Convert to fraction form
    248,966,469/400,021,267.50 = 400,021,267.50/x
  3. Step 3: Cross multiply
    248,966,469x = 400,021,267.50 × 400,021,267.50
  4. Step 4: Simplify right side
    248,966,469x = 160,017,014,452,306,560
  5. Step 5: Solve for x
    x = 160,017,014,452,306,560/248,966,469
  6. Step 6: Final answer
    x = 642,725,163.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.