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Finding the Third Proportional to 186,888,384 and 407,405,173.50

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Solution

The third proportional to 186,888,384 and 407,405,173.50 is: 888,118,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,888,384 : 407,405,173.50 = 407,405,173.50 : x
  2. Step 2: Convert to fraction form
    186,888,384/407,405,173.50 = 407,405,173.50/x
  3. Step 3: Cross multiply
    186,888,384x = 407,405,173.50 × 407,405,173.50
  4. Step 4: Simplify right side
    186,888,384x = 165,978,975,394,565,088
  5. Step 5: Solve for x
    x = 165,978,975,394,565,088/186,888,384
  6. Step 6: Final answer
    x = 888,118,201.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.