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Finding the Third Proportional to 110,357,450 and 260,143,229

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Solution

The third proportional to 110,357,450 and 260,143,229 is: 613,230,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357,450 : 260,143,229 = 260,143,229 : x
  2. Step 2: Convert to fraction form
    110,357,450/260,143,229 = 260,143,229/x
  3. Step 3: Cross multiply
    110,357,450x = 260,143,229 × 260,143,229
  4. Step 4: Simplify right side
    110,357,450x = 67,674,499,594,546,440
  5. Step 5: Solve for x
    x = 67,674,499,594,546,440/110,357,450
  6. Step 6: Final answer
    x = 613,230,004.81

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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.