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Finding the Third Proportional to 92,678,073.75 and 199,708,821

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Solution

The third proportional to 92,678,073.75 and 199,708,821 is: 430,345,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,678,073.75 : 199,708,821 = 199,708,821 : x
  2. Step 2: Convert to fraction form
    92,678,073.75/199,708,821 = 199,708,821/x
  3. Step 3: Cross multiply
    92,678,073.75x = 199,708,821 × 199,708,821
  4. Step 4: Simplify right side
    92,678,073.75x = 39,883,613,185,210,040
  5. Step 5: Solve for x
    x = 39,883,613,185,210,040/92,678,073.75
  6. Step 6: Final answer
    x = 430,345,728.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.