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Finding the Third Proportional to 248,483,022 and 540,598,875

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Solution

The third proportional to 248,483,022 and 540,598,875 is: 1,176,125,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,483,022 : 540,598,875 = 540,598,875 : x
  2. Step 2: Convert to fraction form
    248,483,022/540,598,875 = 540,598,875/x
  3. Step 3: Cross multiply
    248,483,022x = 540,598,875 × 540,598,875
  4. Step 4: Simplify right side
    248,483,022x = 292,247,143,651,265,600
  5. Step 5: Solve for x
    x = 292,247,143,651,265,600/248,483,022
  6. Step 6: Final answer
    x = 1,176,125,198.81

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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.