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Finding the Third Proportional to 57,855,296.81 and 123,556,966.88

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Solution

The third proportional to 57,855,296.81 and 123,556,966.88 is: 263,870,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,855,296.81 : 123,556,966.88 = 123,556,966.88 : x
  2. Step 2: Convert to fraction form
    57,855,296.81/123,556,966.88 = 123,556,966.88/x
  3. Step 3: Cross multiply
    57,855,296.81x = 123,556,966.88 × 123,556,966.88
  4. Step 4: Simplify right side
    57,855,296.81x = 15,266,324,063,349,848
  5. Step 5: Solve for x
    x = 15,266,324,063,349,848/57,855,296.81
  6. Step 6: Final answer
    x = 263,870,810.53

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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.