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Finding the Third Proportional to 107,146,647 and 232,559,112

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Solution

The third proportional to 107,146,647 and 232,559,112 is: 504,763,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146,647 : 232,559,112 = 232,559,112 : x
  2. Step 2: Convert to fraction form
    107,146,647/232,559,112 = 232,559,112/x
  3. Step 3: Cross multiply
    107,146,647x = 232,559,112 × 232,559,112
  4. Step 4: Simplify right side
    107,146,647x = 54,083,740,574,228,544
  5. Step 5: Solve for x
    x = 54,083,740,574,228,544/107,146,647
  6. Step 6: Final answer
    x = 504,763,724.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.