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Finding the Third Proportional to 191,404,512 and 419,862,312

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Solution

The third proportional to 191,404,512 and 419,862,312 is: 921,004,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,512 : 419,862,312 = 419,862,312 : x
  2. Step 2: Convert to fraction form
    191,404,512/419,862,312 = 419,862,312/x
  3. Step 3: Cross multiply
    191,404,512x = 419,862,312 × 419,862,312
  4. Step 4: Simplify right side
    191,404,512x = 176,284,361,037,985,344
  5. Step 5: Solve for x
    x = 176,284,361,037,985,344/191,404,512
  6. Step 6: Final answer
    x = 921,004,208.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.