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Finding the Third Proportional to 57,223,401.75 and 120,525,570

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Solution

The third proportional to 57,223,401.75 and 120,525,570 is: 253,854,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223,401.75 : 120,525,570 = 120,525,570 : x
  2. Step 2: Convert to fraction form
    57,223,401.75/120,525,570 = 120,525,570/x
  3. Step 3: Cross multiply
    57,223,401.75x = 120,525,570 × 120,525,570
  4. Step 4: Simplify right side
    57,223,401.75x = 14,526,413,023,824,900
  5. Step 5: Solve for x
    x = 14,526,413,023,824,900/57,223,401.75
  6. Step 6: Final answer
    x = 253,854,412.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.