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Finding the Third Proportional to 229,167,616 and 363,474,064

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Solution

The third proportional to 229,167,616 and 363,474,064 is: 576,492,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,167,616 : 363,474,064 = 363,474,064 : x
  2. Step 2: Convert to fraction form
    229,167,616/363,474,064 = 363,474,064/x
  3. Step 3: Cross multiply
    229,167,616x = 363,474,064 × 363,474,064
  4. Step 4: Simplify right side
    229,167,616x = 132,113,395,200,676,096
  5. Step 5: Solve for x
    x = 132,113,395,200,676,096/229,167,616
  6. Step 6: Final answer
    x = 576,492,427.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.