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Finding the Third Proportional to 65,650,603.50 and 102,982,765.50

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Solution

The third proportional to 65,650,603.50 and 102,982,765.50 is: 161,543,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650,603.50 : 102,982,765.50 = 102,982,765.50 : x
  2. Step 2: Convert to fraction form
    65,650,603.50/102,982,765.50 = 102,982,765.50/x
  3. Step 3: Cross multiply
    65,650,603.50x = 102,982,765.50 × 102,982,765.50
  4. Step 4: Simplify right side
    65,650,603.50x = 10,605,449,990,027,990
  5. Step 5: Solve for x
    x = 10,605,449,990,027,990/65,650,603.50
  6. Step 6: Final answer
    x = 161,543,830.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.