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Finding the Third Proportional to 80,297,385,291 and 121,480,502,490

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Solution

The third proportional to 80,297,385,291 and 121,480,502,490 is: 183,785,716,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,297,385,291 : 121,480,502,490 = 121,480,502,490 : x
  2. Step 2: Convert to fraction form
    80,297,385,291/121,480,502,490 = 121,480,502,490/x
  3. Step 3: Cross multiply
    80,297,385,291x = 121,480,502,490 × 121,480,502,490
  4. Step 4: Simplify right side
    80,297,385,291x = 14,757,512,485,222,897,156,096
  5. Step 5: Solve for x
    x = 14,757,512,485,222,897,156,096/80,297,385,291
  6. Step 6: Final answer
    x = 183,785,716,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.