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Finding the Third Proportional to 251,824,950 and 541,913,646.94

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Solution

The third proportional to 251,824,950 and 541,913,646.94 is: 1,166,168,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,824,950 : 541,913,646.94 = 541,913,646.94 : x
  2. Step 2: Convert to fraction form
    251,824,950/541,913,646.94 = 541,913,646.94/x
  3. Step 3: Cross multiply
    251,824,950x = 541,913,646.94 × 541,913,646.94
  4. Step 4: Simplify right side
    251,824,950x = 293,670,400,737,101,376
  5. Step 5: Solve for x
    x = 293,670,400,737,101,376/251,824,950
  6. Step 6: Final answer
    x = 1,166,168,803.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.