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Finding the Third Proportional to 57,596,994.32 and 125,950,825.02

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Solution

The third proportional to 57,596,994.32 and 125,950,825.02 is: 275,424,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,596,994.32 : 125,950,825.02 = 125,950,825.02 : x
  2. Step 2: Convert to fraction form
    57,596,994.32/125,950,825.02 = 125,950,825.02/x
  3. Step 3: Cross multiply
    57,596,994.32x = 125,950,825.02 × 125,950,825.02
  4. Step 4: Simplify right side
    57,596,994.32x = 15,863,610,323,102,782
  5. Step 5: Solve for x
    x = 15,863,610,323,102,782/57,596,994.32
  6. Step 6: Final answer
    x = 275,424,273.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.