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Finding the Third Proportional to 120,097,247 and 262,216,129

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Solution

The third proportional to 120,097,247 and 262,216,129 is: 572,513,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097,247 : 262,216,129 = 262,216,129 : x
  2. Step 2: Convert to fraction form
    120,097,247/262,216,129 = 262,216,129/x
  3. Step 3: Cross multiply
    120,097,247x = 262,216,129 × 262,216,129
  4. Step 4: Simplify right side
    120,097,247x = 68,757,298,307,744,640
  5. Step 5: Solve for x
    x = 68,757,298,307,744,640/120,097,247
  6. Step 6: Final answer
    x = 572,513,525.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.