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Finding the Third Proportional to 250,807,416.75 and 524,483,401.50

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Solution

The third proportional to 250,807,416.75 and 524,483,401.50 is: 1,096,789,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,807,416.75 : 524,483,401.50 = 524,483,401.50 : x
  2. Step 2: Convert to fraction form
    250,807,416.75/524,483,401.50 = 524,483,401.50/x
  3. Step 3: Cross multiply
    250,807,416.75x = 524,483,401.50 × 524,483,401.50
  4. Step 4: Simplify right side
    250,807,416.75x = 275,082,838,449,010,208
  5. Step 5: Solve for x
    x = 275,082,838,449,010,208/250,807,416.75
  6. Step 6: Final answer
    x = 1,096,789,090.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.