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Finding the Third Proportional to 49,148,459 and 106,475,205

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Solution

The third proportional to 49,148,459 and 106,475,205 is: 230,667,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,459 : 106,475,205 = 106,475,205 : x
  2. Step 2: Convert to fraction form
    49,148,459/106,475,205 = 106,475,205/x
  3. Step 3: Cross multiply
    49,148,459x = 106,475,205 × 106,475,205
  4. Step 4: Simplify right side
    49,148,459x = 11,336,969,279,792,024
  5. Step 5: Solve for x
    x = 11,336,969,279,792,024/49,148,459
  6. Step 6: Final answer
    x = 230,667,848.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.