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Finding the Third Proportional to 175,049,826 and 380,923,716

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Solution

The third proportional to 175,049,826 and 380,923,716 is: 828,923,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,049,826 : 380,923,716 = 380,923,716 : x
  2. Step 2: Convert to fraction form
    175,049,826/380,923,716 = 380,923,716/x
  3. Step 3: Cross multiply
    175,049,826x = 380,923,716 × 380,923,716
  4. Step 4: Simplify right side
    175,049,826x = 145,102,877,411,248,640
  5. Step 5: Solve for x
    x = 145,102,877,411,248,640/175,049,826
  6. Step 6: Final answer
    x = 828,923,288.45

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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.