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Finding the Third Proportional to 139,720,697,631 and 303,921,906,192

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Solution

The third proportional to 139,720,697,631 and 303,921,906,192 is: 661,094,072,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720,697,631 : 303,921,906,192 = 303,921,906,192 : x
  2. Step 2: Convert to fraction form
    139,720,697,631/303,921,906,192 = 303,921,906,192/x
  3. Step 3: Cross multiply
    139,720,697,631x = 303,921,906,192 × 303,921,906,192
  4. Step 4: Simplify right side
    139,720,697,631x = 92,368,525,063,378,847,137,792
  5. Step 5: Solve for x
    x = 92,368,525,063,378,847,137,792/139,720,697,631
  6. Step 6: Final answer
    x = 661,094,072,886.20

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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.