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Finding the Third Proportional to 103,853,862 and 164,449,949

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Solution

The third proportional to 103,853,862 and 164,449,949 is: 260,402,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853,862 : 164,449,949 = 164,449,949 : x
  2. Step 2: Convert to fraction form
    103,853,862/164,449,949 = 164,449,949/x
  3. Step 3: Cross multiply
    103,853,862x = 164,449,949 × 164,449,949
  4. Step 4: Simplify right side
    103,853,862x = 27,043,785,726,102,600
  5. Step 5: Solve for x
    x = 27,043,785,726,102,600/103,853,862
  6. Step 6: Final answer
    x = 260,402,311.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.