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Finding the Third Proportional to 104,844,782 and 164,112,069

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Solution

The third proportional to 104,844,782 and 164,112,069 is: 256,882,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,844,782 : 164,112,069 = 164,112,069 : x
  2. Step 2: Convert to fraction form
    104,844,782/164,112,069 = 164,112,069/x
  3. Step 3: Cross multiply
    104,844,782x = 164,112,069 × 164,112,069
  4. Step 4: Simplify right side
    104,844,782x = 26,932,771,191,460,760
  5. Step 5: Solve for x
    x = 26,932,771,191,460,760/104,844,782
  6. Step 6: Final answer
    x = 256,882,323.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.