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Finding the Third Proportional to 212,364,858 and 500,603,002.50

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Solution

The third proportional to 212,364,858 and 500,603,002.50 is: 1,180,060,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364,858 : 500,603,002.50 = 500,603,002.50 : x
  2. Step 2: Convert to fraction form
    212,364,858/500,603,002.50 = 500,603,002.50/x
  3. Step 3: Cross multiply
    212,364,858x = 500,603,002.50 × 500,603,002.50
  4. Step 4: Simplify right side
    212,364,858x = 250,603,366,112,015,008
  5. Step 5: Solve for x
    x = 250,603,366,112,015,008/212,364,858
  6. Step 6: Final answer
    x = 1,180,060,432.18

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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.