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Finding the Third Proportional to 91,623,324 and 196,362,330

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Solution

The third proportional to 91,623,324 and 196,362,330 is: 420,833,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,623,324 : 196,362,330 = 196,362,330 : x
  2. Step 2: Convert to fraction form
    91,623,324/196,362,330 = 196,362,330/x
  3. Step 3: Cross multiply
    91,623,324x = 196,362,330 × 196,362,330
  4. Step 4: Simplify right side
    91,623,324x = 38,558,164,643,028,896
  5. Step 5: Solve for x
    x = 38,558,164,643,028,896/91,623,324
  6. Step 6: Final answer
    x = 420,833,505.70

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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.