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Finding the Third Proportional to 91,203,822,834 and 196,133,507,379

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Solution

The third proportional to 91,203,822,834 and 196,133,507,379 is: 421,784,433,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,203,822,834 : 196,133,507,379 = 196,133,507,379 : x
  2. Step 2: Convert to fraction form
    91,203,822,834/196,133,507,379 = 196,133,507,379/x
  3. Step 3: Cross multiply
    91,203,822,834x = 196,133,507,379 × 196,133,507,379
  4. Step 4: Simplify right side
    91,203,822,834x = 38,468,352,716,788,249,657,344
  5. Step 5: Solve for x
    x = 38,468,352,716,788,249,657,344/91,203,822,834
  6. Step 6: Final answer
    x = 421,784,433,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.