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Finding the Third Proportional to 227,434,735.13 and 325,009,504.69

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Solution

The third proportional to 227,434,735.13 and 325,009,504.69 is: 464,446,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,735.13 : 325,009,504.69 = 325,009,504.69 : x
  2. Step 2: Convert to fraction form
    227,434,735.13/325,009,504.69 = 325,009,504.69/x
  3. Step 3: Cross multiply
    227,434,735.13x = 325,009,504.69 × 325,009,504.69
  4. Step 4: Simplify right side
    227,434,735.13x = 105,631,178,137,214,080
  5. Step 5: Solve for x
    x = 105,631,178,137,214,080/227,434,735.13
  6. Step 6: Final answer
    x = 464,446,110.57

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