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Finding the Third Proportional to 103,853,769 and 164,449,785

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Solution

The third proportional to 103,853,769 and 164,449,785 is: 260,402,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853,769 : 164,449,785 = 164,449,785 : x
  2. Step 2: Convert to fraction form
    103,853,769/164,449,785 = 164,449,785/x
  3. Step 3: Cross multiply
    103,853,769x = 164,449,785 × 164,449,785
  4. Step 4: Simplify right side
    103,853,769x = 27,043,731,786,546,224
  5. Step 5: Solve for x
    x = 27,043,731,786,546,224/103,853,769
  6. Step 6: Final answer
    x = 260,402,025.34

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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.