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Finding the Third Proportional to 211,397,073.75 and 323,413,853.63

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Solution

The third proportional to 211,397,073.75 and 323,413,853.63 is: 494,786,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,073.75 : 323,413,853.63 = 323,413,853.63 : x
  2. Step 2: Convert to fraction form
    211,397,073.75/323,413,853.63 = 323,413,853.63/x
  3. Step 3: Cross multiply
    211,397,073.75x = 323,413,853.63 × 323,413,853.63
  4. Step 4: Simplify right side
    211,397,073.75x = 104,596,520,716,572,928
  5. Step 5: Solve for x
    x = 104,596,520,716,572,928/211,397,073.75
  6. Step 6: Final answer
    x = 494,786,984.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.