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Finding the Third Proportional to 151,358,904 and 332,018,640

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Solution

The third proportional to 151,358,904 and 332,018,640 is: 728,311,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,358,904 : 332,018,640 = 332,018,640 : x
  2. Step 2: Convert to fraction form
    151,358,904/332,018,640 = 332,018,640/x
  3. Step 3: Cross multiply
    151,358,904x = 332,018,640 × 332,018,640
  4. Step 4: Simplify right side
    151,358,904x = 110,236,377,307,449,600
  5. Step 5: Solve for x
    x = 110,236,377,307,449,600/151,358,904
  6. Step 6: Final answer
    x = 728,311,149.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.