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Finding the Third Proportional to 227,133,191 and 493,030,696

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Solution

The third proportional to 227,133,191 and 493,030,696 is: 1,070,205,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,133,191 : 493,030,696 = 493,030,696 : x
  2. Step 2: Convert to fraction form
    227,133,191/493,030,696 = 493,030,696/x
  3. Step 3: Cross multiply
    227,133,191x = 493,030,696 × 493,030,696
  4. Step 4: Simplify right side
    227,133,191x = 243,079,267,198,244,416
  5. Step 5: Solve for x
    x = 243,079,267,198,244,416/227,133,191
  6. Step 6: Final answer
    x = 1,070,205,838.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.