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Finding the Third Proportional to 216,519,205.50 and 312,832,928.25

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Solution

The third proportional to 216,519,205.50 and 312,832,928.25 is: 451,989,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,519,205.50 : 312,832,928.25 = 312,832,928.25 : x
  2. Step 2: Convert to fraction form
    216,519,205.50/312,832,928.25 = 312,832,928.25/x
  3. Step 3: Cross multiply
    216,519,205.50x = 312,832,928.25 × 312,832,928.25
  4. Step 4: Simplify right side
    216,519,205.50x = 97,864,440,997,469,648
  5. Step 5: Solve for x
    x = 97,864,440,997,469,648/216,519,205.50
  6. Step 6: Final answer
    x = 451,989,655.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.