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Finding the Third Proportional to 227,434,731 and 325,009,500

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Solution

The third proportional to 227,434,731 and 325,009,500 is: 464,446,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,731 : 325,009,500 = 325,009,500 : x
  2. Step 2: Convert to fraction form
    227,434,731/325,009,500 = 325,009,500/x
  3. Step 3: Cross multiply
    227,434,731x = 325,009,500 × 325,009,500
  4. Step 4: Simplify right side
    227,434,731x = 105,631,175,090,250,000
  5. Step 5: Solve for x
    x = 105,631,175,090,250,000/227,434,731
  6. Step 6: Final answer
    x = 464,446,105.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.