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Finding the Third Proportional to 227,434,716 and 325,009,472.63

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Solution

The third proportional to 227,434,716 and 325,009,472.63 is: 464,446,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,716 : 325,009,472.63 = 325,009,472.63 : x
  2. Step 2: Convert to fraction form
    227,434,716/325,009,472.63 = 325,009,472.63/x
  3. Step 3: Cross multiply
    227,434,716x = 325,009,472.63 × 325,009,472.63
  4. Step 4: Simplify right side
    227,434,716x = 105,631,157,295,980,624
  5. Step 5: Solve for x
    x = 105,631,157,295,980,624/227,434,716
  6. Step 6: Final answer
    x = 464,446,057.99

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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.