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Finding the Third Proportional to 56,698,142.63 and 123,659,739

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Solution

The third proportional to 56,698,142.63 and 123,659,739 is: 269,704,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,698,142.63 : 123,659,739 = 123,659,739 : x
  2. Step 2: Convert to fraction form
    56,698,142.63/123,659,739 = 123,659,739/x
  3. Step 3: Cross multiply
    56,698,142.63x = 123,659,739 × 123,659,739
  4. Step 4: Simplify right side
    56,698,142.63x = 15,291,731,049,548,120
  5. Step 5: Solve for x
    x = 15,291,731,049,548,120/56,698,142.63
  6. Step 6: Final answer
    x = 269,704,267.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.