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Finding the Third Proportional to 198,869,475,588 and 426,105,145,992

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Solution

The third proportional to 198,869,475,588 and 426,105,145,992 is: 912,988,757,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,869,475,588 : 426,105,145,992 = 426,105,145,992 : x
  2. Step 2: Convert to fraction form
    198,869,475,588/426,105,145,992 = 426,105,145,992/x
  3. Step 3: Cross multiply
    198,869,475,588x = 426,105,145,992 × 426,105,145,992
  4. Step 4: Simplify right side
    198,869,475,588x = 181,565,595,440,863,625,871,360
  5. Step 5: Solve for x
    x = 181,565,595,440,863,625,871,360/198,869,475,588
  6. Step 6: Final answer
    x = 912,988,757,596.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.