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Finding the Third Proportional to 97,424,430.75 and 211,999,947.75

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Solution

The third proportional to 97,424,430.75 and 211,999,947.75 is: 461,321,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,424,430.75 : 211,999,947.75 = 211,999,947.75 : x
  2. Step 2: Convert to fraction form
    97,424,430.75/211,999,947.75 = 211,999,947.75/x
  3. Step 3: Cross multiply
    97,424,430.75x = 211,999,947.75 × 211,999,947.75
  4. Step 4: Simplify right side
    97,424,430.75x = 44,943,977,846,002,728
  5. Step 5: Solve for x
    x = 44,943,977,846,002,728/97,424,430.75
  6. Step 6: Final answer
    x = 461,321,431.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.