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Finding the Third Proportional to 175,049,726 and 380,923,516

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Solution

The third proportional to 175,049,726 and 380,923,516 is: 828,922,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,049,726 : 380,923,516 = 380,923,516 : x
  2. Step 2: Convert to fraction form
    175,049,726/380,923,516 = 380,923,516/x
  3. Step 3: Cross multiply
    175,049,726x = 380,923,516 × 380,923,516
  4. Step 4: Simplify right side
    175,049,726x = 145,102,725,041,802,240
  5. Step 5: Solve for x
    x = 145,102,725,041,802,240/175,049,726
  6. Step 6: Final answer
    x = 828,922,891.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.