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Finding the Third Proportional to 151,047,983 and 233,244,515

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Solution

The third proportional to 151,047,983 and 233,244,515 is: 360,170,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,047,983 : 233,244,515 = 233,244,515 : x
  2. Step 2: Convert to fraction form
    151,047,983/233,244,515 = 233,244,515/x
  3. Step 3: Cross multiply
    151,047,983x = 233,244,515 × 233,244,515
  4. Step 4: Simplify right side
    151,047,983x = 54,403,003,777,585,224
  5. Step 5: Solve for x
    x = 54,403,003,777,585,224/151,047,983
  6. Step 6: Final answer
    x = 360,170,342.54

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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.