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Finding the Third Proportional to 151,048,026 and 233,244,578

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Solution

The third proportional to 151,048,026 and 233,244,578 is: 360,170,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,026 : 233,244,578 = 233,244,578 : x
  2. Step 2: Convert to fraction form
    151,048,026/233,244,578 = 233,244,578/x
  3. Step 3: Cross multiply
    151,048,026x = 233,244,578 × 233,244,578
  4. Step 4: Simplify right side
    151,048,026x = 54,403,033,166,398,080
  5. Step 5: Solve for x
    x = 54,403,033,166,398,080/151,048,026
  6. Step 6: Final answer
    x = 360,170,434.58

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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.