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Finding the Third Proportional to 227,434,820 and 325,009,635

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Solution

The third proportional to 227,434,820 and 325,009,635 is: 464,446,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,820 : 325,009,635 = 325,009,635 : x
  2. Step 2: Convert to fraction form
    227,434,820/325,009,635 = 325,009,635/x
  3. Step 3: Cross multiply
    227,434,820x = 325,009,635 × 325,009,635
  4. Step 4: Simplify right side
    227,434,820x = 105,631,262,842,833,232
  5. Step 5: Solve for x
    x = 105,631,262,842,833,232/227,434,820
  6. Step 6: Final answer
    x = 464,446,309.68

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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.