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Finding the Third Proportional to 218,191,401 and 484,810,344

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Solution

The third proportional to 218,191,401 and 484,810,344 is: 1,077,224,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,191,401 : 484,810,344 = 484,810,344 : x
  2. Step 2: Convert to fraction form
    218,191,401/484,810,344 = 484,810,344/x
  3. Step 3: Cross multiply
    218,191,401x = 484,810,344 × 484,810,344
  4. Step 4: Simplify right side
    218,191,401x = 235,041,069,649,398,336
  5. Step 5: Solve for x
    x = 235,041,069,649,398,336/218,191,401
  6. Step 6: Final answer
    x = 1,077,224,256.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.