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Finding the Third Proportional to 154,408,052 and 319,523,656

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Solution

The third proportional to 154,408,052 and 319,523,656 is: 661,204,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,408,052 : 319,523,656 = 319,523,656 : x
  2. Step 2: Convert to fraction form
    154,408,052/319,523,656 = 319,523,656/x
  3. Step 3: Cross multiply
    154,408,052x = 319,523,656 × 319,523,656
  4. Step 4: Simplify right side
    154,408,052x = 102,095,366,743,606,336
  5. Step 5: Solve for x
    x = 102,095,366,743,606,336/154,408,052
  6. Step 6: Final answer
    x = 661,204,939.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.