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Finding the Third Proportional to 103,456,021.50 and 172,419,799.50

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Solution

The third proportional to 103,456,021.50 and 172,419,799.50 is: 287,354,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456,021.50 : 172,419,799.50 = 172,419,799.50 : x
  2. Step 2: Convert to fraction form
    103,456,021.50/172,419,799.50 = 172,419,799.50/x
  3. Step 3: Cross multiply
    103,456,021.50x = 172,419,799.50 × 172,419,799.50
  4. Step 4: Simplify right side
    103,456,021.50x = 29,728,587,259,620,200
  5. Step 5: Solve for x
    x = 29,728,587,259,620,200/103,456,021.50
  6. Step 6: Final answer
    x = 287,354,827.96

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.