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Finding the Third Proportional to 151,047,998.25 and 233,244,534.75

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Solution

The third proportional to 151,047,998.25 and 233,244,534.75 is: 360,170,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,047,998.25 : 233,244,534.75 = 233,244,534.75 : x
  2. Step 2: Convert to fraction form
    151,047,998.25/233,244,534.75 = 233,244,534.75/x
  3. Step 3: Cross multiply
    151,047,998.25x = 233,244,534.75 × 233,244,534.75
  4. Step 4: Simplify right side
    151,047,998.25x = 54,403,012,990,743,960
  5. Step 5: Solve for x
    x = 54,403,012,990,743,960/151,047,998.25
  6. Step 6: Final answer
    x = 360,170,367.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.