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Finding the Third Proportional to 99,120,674 and 212,590,084

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Solution

The third proportional to 99,120,674 and 212,590,084 is: 455,954,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,120,674 : 212,590,084 = 212,590,084 : x
  2. Step 2: Convert to fraction form
    99,120,674/212,590,084 = 212,590,084/x
  3. Step 3: Cross multiply
    99,120,674x = 212,590,084 × 212,590,084
  4. Step 4: Simplify right side
    99,120,674x = 45,194,543,815,127,056
  5. Step 5: Solve for x
    x = 45,194,543,815,127,056/99,120,674
  6. Step 6: Final answer
    x = 455,954,766.97

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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.