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Finding the Third Proportional to 398,147,870.81 and 618,184,203.75

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Solution

The third proportional to 398,147,870.81 and 618,184,203.75 is: 959,823,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,147,870.81 : 618,184,203.75 = 618,184,203.75 : x
  2. Step 2: Convert to fraction form
    398,147,870.81/618,184,203.75 = 618,184,203.75/x
  3. Step 3: Cross multiply
    398,147,870.81x = 618,184,203.75 × 618,184,203.75
  4. Step 4: Simplify right side
    398,147,870.81x = 382,151,709,766,021,504
  5. Step 5: Solve for x
    x = 382,151,709,766,021,504/398,147,870.81
  6. Step 6: Final answer
    x = 959,823,567.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.