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Finding the Third Proportional to 186,887,268 and 290,125,942.50

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Solution

The third proportional to 186,887,268 and 290,125,942.50 is: 450,394,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,887,268 : 290,125,942.50 = 290,125,942.50 : x
  2. Step 2: Convert to fraction form
    186,887,268/290,125,942.50 = 290,125,942.50/x
  3. Step 3: Cross multiply
    186,887,268x = 290,125,942.50 × 290,125,942.50
  4. Step 4: Simplify right side
    186,887,268x = 84,173,062,511,513,312
  5. Step 5: Solve for x
    x = 84,173,062,511,513,312/186,887,268
  6. Step 6: Final answer
    x = 450,394,847.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.