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Finding the Third Proportional to 103,477,091 and 225,324,994

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Solution

The third proportional to 103,477,091 and 225,324,994 is: 490,653,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477,091 : 225,324,994 = 225,324,994 : x
  2. Step 2: Convert to fraction form
    103,477,091/225,324,994 = 225,324,994/x
  3. Step 3: Cross multiply
    103,477,091x = 225,324,994 × 225,324,994
  4. Step 4: Simplify right side
    103,477,091x = 50,771,352,921,100,032
  5. Step 5: Solve for x
    x = 50,771,352,921,100,032/103,477,091
  6. Step 6: Final answer
    x = 490,653,075.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.