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Finding the Third Proportional to 227,434,824 and 325,009,631.25

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Solution

The third proportional to 227,434,824 and 325,009,631.25 is: 464,446,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,824 : 325,009,631.25 = 325,009,631.25 : x
  2. Step 2: Convert to fraction form
    227,434,824/325,009,631.25 = 325,009,631.25/x
  3. Step 3: Cross multiply
    227,434,824x = 325,009,631.25 × 325,009,631.25
  4. Step 4: Simplify right side
    227,434,824x = 105,631,260,405,260,976
  5. Step 5: Solve for x
    x = 105,631,260,405,260,976/227,434,824
  6. Step 6: Final answer
    x = 464,446,290.80

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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.