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Finding the Third Proportional to 175,049,838 and 380,923,740

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Solution

The third proportional to 175,049,838 and 380,923,740 is: 828,923,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,049,838 : 380,923,740 = 380,923,740 : x
  2. Step 2: Convert to fraction form
    175,049,838/380,923,740 = 380,923,740/x
  3. Step 3: Cross multiply
    175,049,838x = 380,923,740 × 380,923,740
  4. Step 4: Simplify right side
    175,049,838x = 145,102,895,695,587,584
  5. Step 5: Solve for x
    x = 145,102,895,695,587,584/175,049,838
  6. Step 6: Final answer
    x = 828,923,336.08

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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.