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Finding the Third Proportional to 121,343,755 and 262,080,611

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Solution

The third proportional to 121,343,755 and 262,080,611 is: 566,046,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,343,755 : 262,080,611 = 262,080,611 : x
  2. Step 2: Convert to fraction form
    121,343,755/262,080,611 = 262,080,611/x
  3. Step 3: Cross multiply
    121,343,755x = 262,080,611 × 262,080,611
  4. Step 4: Simplify right side
    121,343,755x = 68,686,246,662,133,320
  5. Step 5: Solve for x
    x = 68,686,246,662,133,320/121,343,755
  6. Step 6: Final answer
    x = 566,046,820.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.