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Finding the Third Proportional to 134,957,730,494 and 281,085,832,962

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Solution

The third proportional to 134,957,730,494 and 281,085,832,962 is: 585,436,974,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,730,494 : 281,085,832,962 = 281,085,832,962 : x
  2. Step 2: Convert to fraction form
    134,957,730,494/281,085,832,962 = 281,085,832,962/x
  3. Step 3: Cross multiply
    134,957,730,494x = 281,085,832,962 × 281,085,832,962
  4. Step 4: Simplify right side
    134,957,730,494x = 79,009,245,491,941,362,106,368
  5. Step 5: Solve for x
    x = 79,009,245,491,941,362,106,368/134,957,730,494
  6. Step 6: Final answer
    x = 585,436,974,990.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.