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Finding the Third Proportional to 89,873,198 and 193,590,106

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Solution

The third proportional to 89,873,198 and 193,590,106 is: 417,000,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,873,198 : 193,590,106 = 193,590,106 : x
  2. Step 2: Convert to fraction form
    89,873,198/193,590,106 = 193,590,106/x
  3. Step 3: Cross multiply
    89,873,198x = 193,590,106 × 193,590,106
  4. Step 4: Simplify right side
    89,873,198x = 37,477,129,141,091,232
  5. Step 5: Solve for x
    x = 37,477,129,141,091,232/89,873,198
  6. Step 6: Final answer
    x = 417,000,062.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.