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Finding the Third Proportional to 148,443,848 and 307,070,368

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Solution

The third proportional to 148,443,848 and 307,070,368 is: 635,204,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,443,848 : 307,070,368 = 307,070,368 : x
  2. Step 2: Convert to fraction form
    148,443,848/307,070,368 = 307,070,368/x
  3. Step 3: Cross multiply
    148,443,848x = 307,070,368 × 307,070,368
  4. Step 4: Simplify right side
    148,443,848x = 94,292,210,903,655,424
  5. Step 5: Solve for x
    x = 94,292,210,903,655,424/148,443,848
  6. Step 6: Final answer
    x = 635,204,571.79

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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.