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Finding the Third Proportional to 204,586,705 and 438,193,442

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Solution

The third proportional to 204,586,705 and 438,193,442 is: 938,543,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,586,705 : 438,193,442 = 438,193,442 : x
  2. Step 2: Convert to fraction form
    204,586,705/438,193,442 = 438,193,442/x
  3. Step 3: Cross multiply
    204,586,705x = 438,193,442 × 438,193,442
  4. Step 4: Simplify right side
    204,586,705x = 192,013,492,611,807,360
  5. Step 5: Solve for x
    x = 192,013,492,611,807,360/204,586,705
  6. Step 6: Final answer
    x = 938,543,355.55

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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.