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Finding the Third Proportional to 238,676,078 and 356,544,196

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Solution

The third proportional to 238,676,078 and 356,544,196 is: 532,620,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,676,078 : 356,544,196 = 356,544,196 : x
  2. Step 2: Convert to fraction form
    238,676,078/356,544,196 = 356,544,196/x
  3. Step 3: Cross multiply
    238,676,078x = 356,544,196 × 356,544,196
  4. Step 4: Simplify right side
    238,676,078x = 127,123,763,701,286,416
  5. Step 5: Solve for x
    x = 127,123,763,701,286,416/238,676,078
  6. Step 6: Final answer
    x = 532,620,465.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.