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Finding the Third Proportional to 48,834,322 and 106,162,951

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Solution

The third proportional to 48,834,322 and 106,162,951 is: 230,792,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,834,322 : 106,162,951 = 106,162,951 : x
  2. Step 2: Convert to fraction form
    48,834,322/106,162,951 = 106,162,951/x
  3. Step 3: Cross multiply
    48,834,322x = 106,162,951 × 106,162,951
  4. Step 4: Simplify right side
    48,834,322x = 11,270,572,165,028,400
  5. Step 5: Solve for x
    x = 11,270,572,165,028,400/48,834,322
  6. Step 6: Final answer
    x = 230,792,027.07

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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.