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Finding the Third Proportional to 139,720,693,000 and 303,921,897,164

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Solution

The third proportional to 139,720,693,000 and 303,921,897,164 is: 661,094,055,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720,693,000 : 303,921,897,164 = 303,921,897,164 : x
  2. Step 2: Convert to fraction form
    139,720,693,000/303,921,897,164 = 303,921,897,164/x
  3. Step 3: Cross multiply
    139,720,693,000x = 303,921,897,164 × 303,921,897,164
  4. Step 4: Simplify right side
    139,720,693,000x = 92,368,519,575,764,983,611,392
  5. Step 5: Solve for x
    x = 92,368,519,575,764,983,611,392/139,720,693,000
  6. Step 6: Final answer
    x = 661,094,055,522.36

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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.