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Finding the Third Proportional to 183,946,560 and 255,760,416

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Solution

The third proportional to 183,946,560 and 255,760,416 is: 355,610,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,946,560 : 255,760,416 = 255,760,416 : x
  2. Step 2: Convert to fraction form
    183,946,560/255,760,416 = 255,760,416/x
  3. Step 3: Cross multiply
    183,946,560x = 255,760,416 × 255,760,416
  4. Step 4: Simplify right side
    183,946,560x = 65,413,390,392,493,056
  5. Step 5: Solve for x
    x = 65,413,390,392,493,056/183,946,560
  6. Step 6: Final answer
    x = 355,610,838.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.