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Finding the Third Proportional to 136,108,715 and 298,671,310

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Solution

The third proportional to 136,108,715 and 298,671,310 is: 655,391,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,108,715 : 298,671,310 = 298,671,310 : x
  2. Step 2: Convert to fraction form
    136,108,715/298,671,310 = 298,671,310/x
  3. Step 3: Cross multiply
    136,108,715x = 298,671,310 × 298,671,310
  4. Step 4: Simplify right side
    136,108,715x = 89,204,551,417,116,096
  5. Step 5: Solve for x
    x = 89,204,551,417,116,096/136,108,715
  6. Step 6: Final answer
    x = 655,391,915.33

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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.