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Finding the Third Proportional to 227,152,379.11 and 494,104,057.59

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Solution

The third proportional to 227,152,379.11 and 494,104,057.59 is: 1,074,779,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,152,379.11 : 494,104,057.59 = 494,104,057.59 : x
  2. Step 2: Convert to fraction form
    227,152,379.11/494,104,057.59 = 494,104,057.59/x
  3. Step 3: Cross multiply
    227,152,379.11x = 494,104,057.59 × 494,104,057.59
  4. Step 4: Simplify right side
    227,152,379.11x = 244,138,819,730,607,808
  5. Step 5: Solve for x
    x = 244,138,819,730,607,808/227,152,379.11
  6. Step 6: Final answer
    x = 1,074,779,937.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.