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Finding the Third Proportional to 91,376,851,482 and 200,405,574,828

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Solution

The third proportional to 91,376,851,482 and 200,405,574,828 is: 439,524,822,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,376,851,482 : 200,405,574,828 = 200,405,574,828 : x
  2. Step 2: Convert to fraction form
    91,376,851,482/200,405,574,828 = 200,405,574,828/x
  3. Step 3: Cross multiply
    91,376,851,482x = 200,405,574,828 × 200,405,574,828
  4. Step 4: Simplify right side
    91,376,851,482x = 40,162,394,422,141,106,782,208
  5. Step 5: Solve for x
    x = 40,162,394,422,141,106,782,208/91,376,851,482
  6. Step 6: Final answer
    x = 439,524,822,433.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.