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Finding the Third Proportional to 251,068,512 and 541,771,248

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Solution

The third proportional to 251,068,512 and 541,771,248 is: 1,169,067,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,068,512 : 541,771,248 = 541,771,248 : x
  2. Step 2: Convert to fraction form
    251,068,512/541,771,248 = 541,771,248/x
  3. Step 3: Cross multiply
    251,068,512x = 541,771,248 × 541,771,248
  4. Step 4: Simplify right side
    251,068,512x = 293,516,085,159,477,504
  5. Step 5: Solve for x
    x = 293,516,085,159,477,504/251,068,512
  6. Step 6: Final answer
    x = 1,169,067,689.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.