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Finding the Third Proportional to 227,999,592 and 488,284,176

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Solution

The third proportional to 227,999,592 and 488,284,176 is: 1,045,709,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,999,592 : 488,284,176 = 488,284,176 : x
  2. Step 2: Convert to fraction form
    227,999,592/488,284,176 = 488,284,176/x
  3. Step 3: Cross multiply
    227,999,592x = 488,284,176 × 488,284,176
  4. Step 4: Simplify right side
    227,999,592x = 238,421,436,531,998,976
  5. Step 5: Solve for x
    x = 238,421,436,531,998,976/227,999,592
  6. Step 6: Final answer
    x = 1,045,709,926.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.