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Finding the Third Proportional to 214,937,922 and 466,368,123

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Solution

The third proportional to 214,937,922 and 466,368,123 is: 1,011,916,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,922 : 466,368,123 = 466,368,123 : x
  2. Step 2: Convert to fraction form
    214,937,922/466,368,123 = 466,368,123/x
  3. Step 3: Cross multiply
    214,937,922x = 466,368,123 × 466,368,123
  4. Step 4: Simplify right side
    214,937,922x = 217,499,226,150,543,136
  5. Step 5: Solve for x
    x = 217,499,226,150,543,136/214,937,922
  6. Step 6: Final answer
    x = 1,011,916,483.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.