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Finding the Third Proportional to 214,680,868 and 471,536,168

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Solution

The third proportional to 214,680,868 and 471,536,168 is: 1,035,706,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,680,868 : 471,536,168 = 471,536,168 : x
  2. Step 2: Convert to fraction form
    214,680,868/471,536,168 = 471,536,168/x
  3. Step 3: Cross multiply
    214,680,868x = 471,536,168 × 471,536,168
  4. Step 4: Simplify right side
    214,680,868x = 222,346,357,732,124,224
  5. Step 5: Solve for x
    x = 222,346,357,732,124,224/214,680,868
  6. Step 6: Final answer
    x = 1,035,706,440.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.