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Finding the Third Proportional to 91,203,822,780 and 196,133,507,272

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Solution

The third proportional to 91,203,822,780 and 196,133,507,272 is: 421,784,432,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,203,822,780 : 196,133,507,272 = 196,133,507,272 : x
  2. Step 2: Convert to fraction form
    91,203,822,780/196,133,507,272 = 196,133,507,272/x
  3. Step 3: Cross multiply
    91,203,822,780x = 196,133,507,272 × 196,133,507,272
  4. Step 4: Simplify right side
    91,203,822,780x = 38,468,352,674,815,673,368,576
  5. Step 5: Solve for x
    x = 38,468,352,674,815,673,368,576/91,203,822,780
  6. Step 6: Final answer
    x = 421,784,432,957.47

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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.