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Finding the Third Proportional to 151,048,305 and 233,244,999.75

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Solution

The third proportional to 151,048,305 and 233,244,999.75 is: 360,171,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,305 : 233,244,999.75 = 233,244,999.75 : x
  2. Step 2: Convert to fraction form
    151,048,305/233,244,999.75 = 233,244,999.75/x
  3. Step 3: Cross multiply
    151,048,305x = 233,244,999.75 × 233,244,999.75
  4. Step 4: Simplify right side
    151,048,305x = 54,403,229,908,377,504
  5. Step 5: Solve for x
    x = 54,403,229,908,377,504/151,048,305
  6. Step 6: Final answer
    x = 360,171,071.82

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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.