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Finding the Third Proportional to 148,443,869 and 307,070,406

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Solution

The third proportional to 148,443,869 and 307,070,406 is: 635,204,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,443,869 : 307,070,406 = 307,070,406 : x
  2. Step 2: Convert to fraction form
    148,443,869/307,070,406 = 307,070,406/x
  3. Step 3: Cross multiply
    148,443,869x = 307,070,406 × 307,070,406
  4. Step 4: Simplify right side
    148,443,869x = 94,292,234,241,004,832
  5. Step 5: Solve for x
    x = 94,292,234,241,004,832/148,443,869
  6. Step 6: Final answer
    x = 635,204,639.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.