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Finding the Third Proportional to 166,355,985 and 370,962,546

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Solution

The third proportional to 166,355,985 and 370,962,546 is: 827,221,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,355,985 : 370,962,546 = 370,962,546 : x
  2. Step 2: Convert to fraction form
    166,355,985/370,962,546 = 370,962,546/x
  3. Step 3: Cross multiply
    166,355,985x = 370,962,546 × 370,962,546
  4. Step 4: Simplify right side
    166,355,985x = 137,613,210,534,802,112
  5. Step 5: Solve for x
    x = 137,613,210,534,802,112/166,355,985
  6. Step 6: Final answer
    x = 827,221,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.