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Finding the Third Proportional to 136,847,368 and 297,786,708

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Solution

The third proportional to 136,847,368 and 297,786,708 is: 647,998,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,847,368 : 297,786,708 = 297,786,708 : x
  2. Step 2: Convert to fraction form
    136,847,368/297,786,708 = 297,786,708/x
  3. Step 3: Cross multiply
    136,847,368x = 297,786,708 × 297,786,708
  4. Step 4: Simplify right side
    136,847,368x = 88,676,923,461,477,264
  5. Step 5: Solve for x
    x = 88,676,923,461,477,264/136,847,368
  6. Step 6: Final answer
    x = 647,998,750.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.