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Finding the Third Proportional to 226,473,208,964 and 351,642,831,456

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Solution

The third proportional to 226,473,208,964 and 351,642,831,456 is: 545,992,532,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,473,208,964 : 351,642,831,456 = 351,642,831,456 : x
  2. Step 2: Convert to fraction form
    226,473,208,964/351,642,831,456 = 351,642,831,456/x
  3. Step 3: Cross multiply
    226,473,208,964x = 351,642,831,456 × 351,642,831,456
  4. Step 4: Simplify right side
    226,473,208,964x = 123,652,680,914,392,819,171,328
  5. Step 5: Solve for x
    x = 123,652,680,914,392,819,171,328/226,473,208,964
  6. Step 6: Final answer
    x = 545,992,532,538.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.