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Finding the Third Proportional to 201,914,221.50 and 439,205,899.50

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Solution

The third proportional to 201,914,221.50 and 439,205,899.50 is: 955,365,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,221.50 : 439,205,899.50 = 439,205,899.50 : x
  2. Step 2: Convert to fraction form
    201,914,221.50/439,205,899.50 = 439,205,899.50/x
  3. Step 3: Cross multiply
    201,914,221.50x = 439,205,899.50 × 439,205,899.50
  4. Step 4: Simplify right side
    201,914,221.50x = 192,901,822,155,604,096
  5. Step 5: Solve for x
    x = 192,901,822,155,604,096/201,914,221.50
  6. Step 6: Final answer
    x = 955,365,207.67

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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.