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Finding the Third Proportional to 198,007,808 and 282,741,534

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Solution

The third proportional to 198,007,808 and 282,741,534 is: 403,735,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,007,808 : 282,741,534 = 282,741,534 : x
  2. Step 2: Convert to fraction form
    198,007,808/282,741,534 = 282,741,534/x
  3. Step 3: Cross multiply
    198,007,808x = 282,741,534 × 282,741,534
  4. Step 4: Simplify right side
    198,007,808x = 79,942,775,048,673,152
  5. Step 5: Solve for x
    x = 79,942,775,048,673,152/198,007,808
  6. Step 6: Final answer
    x = 403,735,468.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.