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Finding the Third Proportional to 212,862,546 and 459,787,428

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Solution

The third proportional to 212,862,546 and 459,787,428 is: 993,150,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,862,546 : 459,787,428 = 459,787,428 : x
  2. Step 2: Convert to fraction form
    212,862,546/459,787,428 = 459,787,428/x
  3. Step 3: Cross multiply
    212,862,546x = 459,787,428 × 459,787,428
  4. Step 4: Simplify right side
    212,862,546x = 211,404,478,946,855,168
  5. Step 5: Solve for x
    x = 211,404,478,946,855,168/212,862,546
  6. Step 6: Final answer
    x = 993,150,194.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.