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Finding the Third Proportional to 139,720,693,028 and 303,921,897,310

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Solution

The third proportional to 139,720,693,028 and 303,921,897,310 is: 661,094,056,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720,693,028 : 303,921,897,310 = 303,921,897,310 : x
  2. Step 2: Convert to fraction form
    139,720,693,028/303,921,897,310 = 303,921,897,310/x
  3. Step 3: Cross multiply
    139,720,693,028x = 303,921,897,310 × 303,921,897,310
  4. Step 4: Simplify right side
    139,720,693,028x = 92,368,519,664,510,181,572,608
  5. Step 5: Solve for x
    x = 92,368,519,664,510,181,572,608/139,720,693,028
  6. Step 6: Final answer
    x = 661,094,056,025.04

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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.