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Finding the Third Proportional to 151,048,297.50 and 233,244,998.25

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Solution

The third proportional to 151,048,297.50 and 233,244,998.25 is: 360,171,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,297.50 : 233,244,998.25 = 233,244,998.25 : x
  2. Step 2: Convert to fraction form
    151,048,297.50/233,244,998.25 = 233,244,998.25/x
  3. Step 3: Cross multiply
    151,048,297.50x = 233,244,998.25 × 233,244,998.25
  4. Step 4: Simplify right side
    151,048,297.50x = 54,403,229,208,642,504
  5. Step 5: Solve for x
    x = 54,403,229,208,642,504/151,048,297.50
  6. Step 6: Final answer
    x = 360,171,085.07

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Why These Related Problems?

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