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Finding the Third Proportional to 107,104,078 and 233,222,283

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Solution

The third proportional to 107,104,078 and 233,222,283 is: 507,848,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,104,078 : 233,222,283 = 233,222,283 : x
  2. Step 2: Convert to fraction form
    107,104,078/233,222,283 = 233,222,283/x
  3. Step 3: Cross multiply
    107,104,078x = 233,222,283 × 233,222,283
  4. Step 4: Simplify right side
    107,104,078x = 54,392,633,287,732,088
  5. Step 5: Solve for x
    x = 54,392,633,287,732,088/107,104,078
  6. Step 6: Final answer
    x = 507,848,387.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.