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Finding the Third Proportional to 125,457,478 and 261,225,002

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Solution

The third proportional to 125,457,478 and 261,225,002 is: 543,917,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,457,478 : 261,225,002 = 261,225,002 : x
  2. Step 2: Convert to fraction form
    125,457,478/261,225,002 = 261,225,002/x
  3. Step 3: Cross multiply
    125,457,478x = 261,225,002 × 261,225,002
  4. Step 4: Simplify right side
    125,457,478x = 68,238,501,669,900,000
  5. Step 5: Solve for x
    x = 68,238,501,669,900,000/125,457,478
  6. Step 6: Final answer
    x = 543,917,371.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.