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Finding the Third Proportional to 91,203,822,779.25 and 196,133,507,270.25

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Solution

The third proportional to 91,203,822,779.25 and 196,133,507,270.25 is: 421,784,432,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,203,822,779.25 : 196,133,507,270.25 = 196,133,507,270.25 : x
  2. Step 2: Convert to fraction form
    91,203,822,779.25/196,133,507,270.25 = 196,133,507,270.25/x
  3. Step 3: Cross multiply
    91,203,822,779.25x = 196,133,507,270.25 × 196,133,507,270.25
  4. Step 4: Simplify right side
    91,203,822,779.25x = 38,468,352,674,129,208,410,112
  5. Step 5: Solve for x
    x = 38,468,352,674,129,208,410,112/91,203,822,779.25
  6. Step 6: Final answer
    x = 421,784,432,953.41

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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.