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Finding the Third Proportional to 193,513,795 and 417,811,801

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Solution

The third proportional to 193,513,795 and 417,811,801 is: 902,089,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,795 : 417,811,801 = 417,811,801 : x
  2. Step 2: Convert to fraction form
    193,513,795/417,811,801 = 417,811,801/x
  3. Step 3: Cross multiply
    193,513,795x = 417,811,801 × 417,811,801
  4. Step 4: Simplify right side
    193,513,795x = 174,566,701,054,863,616
  5. Step 5: Solve for x
    x = 174,566,701,054,863,616/193,513,795
  6. Step 6: Final answer
    x = 902,089,182.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.