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Finding the Third Proportional to 200,471,645 and 318,992,974

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Solution

The third proportional to 200,471,645 and 318,992,974 is: 507,585,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471,645 : 318,992,974 = 318,992,974 : x
  2. Step 2: Convert to fraction form
    200,471,645/318,992,974 = 318,992,974/x
  3. Step 3: Cross multiply
    200,471,645x = 318,992,974 × 318,992,974
  4. Step 4: Simplify right side
    200,471,645x = 101,756,517,461,364,672
  5. Step 5: Solve for x
    x = 101,756,517,461,364,672/200,471,645
  6. Step 6: Final answer
    x = 507,585,586.29

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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.