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Finding the Third Proportional to 91,046,716 and 200,253,768

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Solution

The third proportional to 91,046,716 and 200,253,768 is: 440,450,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,046,716 : 200,253,768 = 200,253,768 : x
  2. Step 2: Convert to fraction form
    91,046,716/200,253,768 = 200,253,768/x
  3. Step 3: Cross multiply
    91,046,716x = 200,253,768 × 200,253,768
  4. Step 4: Simplify right side
    91,046,716x = 40,101,571,598,197,824
  5. Step 5: Solve for x
    x = 40,101,571,598,197,824/91,046,716
  6. Step 6: Final answer
    x = 440,450,500.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.