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Finding the Third Proportional to 95,385,731.63 and 206,617,837.82

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Solution

The third proportional to 95,385,731.63 and 206,617,837.82 is: 447,560,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,385,731.63 : 206,617,837.82 = 206,617,837.82 : x
  2. Step 2: Convert to fraction form
    95,385,731.63/206,617,837.82 = 206,617,837.82/x
  3. Step 3: Cross multiply
    95,385,731.63x = 206,617,837.82 × 206,617,837.82
  4. Step 4: Simplify right side
    95,385,731.63x = 42,690,930,903,924,168
  5. Step 5: Solve for x
    x = 42,690,930,903,924,168/95,385,731.63
  6. Step 6: Final answer
    x = 447,560,973.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.