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Finding the Third Proportional to 71,881,544.25 and 102,791,450.25

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Solution

The third proportional to 71,881,544.25 and 102,791,450.25 is: 146,992,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881,544.25 : 102,791,450.25 = 102,791,450.25 : x
  2. Step 2: Convert to fraction form
    71,881,544.25/102,791,450.25 = 102,791,450.25/x
  3. Step 3: Cross multiply
    71,881,544.25x = 102,791,450.25 × 102,791,450.25
  4. Step 4: Simplify right side
    71,881,544.25x = 10,566,082,244,498,226
  5. Step 5: Solve for x
    x = 10,566,082,244,498,226/71,881,544.25
  6. Step 6: Final answer
    x = 146,992,977.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.