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Finding the Third Proportional to 250,481,120 and 538,003,360

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Solution

The third proportional to 250,481,120 and 538,003,360 is: 1,155,566,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,481,120 : 538,003,360 = 538,003,360 : x
  2. Step 2: Convert to fraction form
    250,481,120/538,003,360 = 538,003,360/x
  3. Step 3: Cross multiply
    250,481,120x = 538,003,360 × 538,003,360
  4. Step 4: Simplify right side
    250,481,120x = 289,447,615,371,289,600
  5. Step 5: Solve for x
    x = 289,447,615,371,289,600/250,481,120
  6. Step 6: Final answer
    x = 1,155,566,596.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.