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Finding the Third Proportional to 164,992,035 and 343,535,262

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Solution

The third proportional to 164,992,035 and 343,535,262 is: 715,285,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992,035 : 343,535,262 = 343,535,262 : x
  2. Step 2: Convert to fraction form
    164,992,035/343,535,262 = 343,535,262/x
  3. Step 3: Cross multiply
    164,992,035x = 343,535,262 × 343,535,262
  4. Step 4: Simplify right side
    164,992,035x = 118,016,476,237,408,640
  5. Step 5: Solve for x
    x = 118,016,476,237,408,640/164,992,035
  6. Step 6: Final answer
    x = 715,285,899.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.