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Finding the Third Proportional to 201,914,230.50 and 439,205,917.50

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Solution

The third proportional to 201,914,230.50 and 439,205,917.50 is: 955,365,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,230.50 : 439,205,917.50 = 439,205,917.50 : x
  2. Step 2: Convert to fraction form
    201,914,230.50/439,205,917.50 = 439,205,917.50/x
  3. Step 3: Cross multiply
    201,914,230.50x = 439,205,917.50 × 439,205,917.50
  4. Step 4: Simplify right side
    201,914,230.50x = 192,901,837,967,016,800
  5. Step 5: Solve for x
    x = 192,901,837,967,016,800/201,914,230.50
  6. Step 6: Final answer
    x = 955,365,243.40

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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.