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Finding the Third Proportional to 201,895,294.50 and 439,219,989

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Solution

The third proportional to 201,895,294.50 and 439,219,989 is: 955,516,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,895,294.50 : 439,219,989 = 439,219,989 : x
  2. Step 2: Convert to fraction form
    201,895,294.50/439,219,989 = 439,219,989/x
  3. Step 3: Cross multiply
    201,895,294.50x = 439,219,989 × 439,219,989
  4. Step 4: Simplify right side
    201,895,294.50x = 192,914,198,737,160,128
  5. Step 5: Solve for x
    x = 192,914,198,737,160,128/201,895,294.50
  6. Step 6: Final answer
    x = 955,516,071.91

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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.