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Finding the Third Proportional to 136,108,716 and 298,671,312

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Solution

The third proportional to 136,108,716 and 298,671,312 is: 655,391,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,108,716 : 298,671,312 = 298,671,312 : x
  2. Step 2: Convert to fraction form
    136,108,716/298,671,312 = 298,671,312/x
  3. Step 3: Cross multiply
    136,108,716x = 298,671,312 × 298,671,312
  4. Step 4: Simplify right side
    136,108,716x = 89,204,552,611,801,344
  5. Step 5: Solve for x
    x = 89,204,552,611,801,344/136,108,716
  6. Step 6: Final answer
    x = 655,391,919.29

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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.