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Finding the Third Proportional to 57,855,333 and 123,557,041.50

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Solution

The third proportional to 57,855,333 and 123,557,041.50 is: 263,870,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,855,333 : 123,557,041.50 = 123,557,041.50 : x
  2. Step 2: Convert to fraction form
    57,855,333/123,557,041.50 = 123,557,041.50/x
  3. Step 3: Cross multiply
    57,855,333x = 123,557,041.50 × 123,557,041.50
  4. Step 4: Simplify right side
    57,855,333x = 15,266,342,504,232,722
  5. Step 5: Solve for x
    x = 15,266,342,504,232,722/57,855,333
  6. Step 6: Final answer
    x = 263,870,964.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.