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Finding the Third Proportional to 200,471,935.50 and 318,993,572.25

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Solution

The third proportional to 200,471,935.50 and 318,993,572.25 is: 507,586,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471,935.50 : 318,993,572.25 = 318,993,572.25 : x
  2. Step 2: Convert to fraction form
    200,471,935.50/318,993,572.25 = 318,993,572.25/x
  3. Step 3: Cross multiply
    200,471,935.50x = 318,993,572.25 × 318,993,572.25
  4. Step 4: Simplify right side
    200,471,935.50x = 101,756,899,136,815,968
  5. Step 5: Solve for x
    x = 101,756,899,136,815,968/200,471,935.50
  6. Step 6: Final answer
    x = 507,586,754.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.