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Finding the Third Proportional to 97,195,205 and 198,300,764

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Solution

The third proportional to 97,195,205 and 198,300,764 is: 404,579,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,195,205 : 198,300,764 = 198,300,764 : x
  2. Step 2: Convert to fraction form
    97,195,205/198,300,764 = 198,300,764/x
  3. Step 3: Cross multiply
    97,195,205x = 198,300,764 × 198,300,764
  4. Step 4: Simplify right side
    97,195,205x = 39,323,193,002,983,696
  5. Step 5: Solve for x
    x = 39,323,193,002,983,696/97,195,205
  6. Step 6: Final answer
    x = 404,579,557.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.