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Finding the Third Proportional to 104,501,484 and 164,766,912

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Solution

The third proportional to 104,501,484 and 164,766,912 is: 259,787,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,501,484 : 164,766,912 = 164,766,912 : x
  2. Step 2: Convert to fraction form
    104,501,484/164,766,912 = 164,766,912/x
  3. Step 3: Cross multiply
    104,501,484x = 164,766,912 × 164,766,912
  4. Step 4: Simplify right side
    104,501,484x = 27,148,135,290,015,744
  5. Step 5: Solve for x
    x = 27,148,135,290,015,744/104,501,484
  6. Step 6: Final answer
    x = 259,787,079.10

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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.