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Finding the Third Proportional to 50,656,869 and 119,462,971.50

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Solution

The third proportional to 50,656,869 and 119,462,971.50 is: 281,726,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656,869 : 119,462,971.50 = 119,462,971.50 : x
  2. Step 2: Convert to fraction form
    50,656,869/119,462,971.50 = 119,462,971.50/x
  3. Step 3: Cross multiply
    50,656,869x = 119,462,971.50 × 119,462,971.50
  4. Step 4: Simplify right side
    50,656,869x = 14,271,401,559,609,812
  5. Step 5: Solve for x
    x = 14,271,401,559,609,812/50,656,869
  6. Step 6: Final answer
    x = 281,726,878.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.