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Finding the Third Proportional to 329,231,091 and 448,432,896

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Solution

The third proportional to 329,231,091 and 448,432,896 is: 610,793,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,231,091 : 448,432,896 = 448,432,896 : x
  2. Step 2: Convert to fraction form
    329,231,091/448,432,896 = 448,432,896/x
  3. Step 3: Cross multiply
    329,231,091x = 448,432,896 × 448,432,896
  4. Step 4: Simplify right side
    329,231,091x = 201,092,062,214,946,816
  5. Step 5: Solve for x
    x = 201,092,062,214,946,816/329,231,091
  6. Step 6: Final answer
    x = 610,793,049.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.