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Finding the Third Proportional to 186,406,515 and 279,609,799.50

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Solution

The third proportional to 186,406,515 and 279,609,799.50 is: 419,414,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,406,515 : 279,609,799.50 = 279,609,799.50 : x
  2. Step 2: Convert to fraction form
    186,406,515/279,609,799.50 = 279,609,799.50/x
  3. Step 3: Cross multiply
    186,406,515x = 279,609,799.50 × 279,609,799.50
  4. Step 4: Simplify right side
    186,406,515x = 78,181,639,976,430,208
  5. Step 5: Solve for x
    x = 78,181,639,976,430,208/186,406,515
  6. Step 6: Final answer
    x = 419,414,739.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.