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Finding the Third Proportional to 55,952,225 and 120,407,509

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Solution

The third proportional to 55,952,225 and 120,407,509 is: 259,113,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952,225 : 120,407,509 = 120,407,509 : x
  2. Step 2: Convert to fraction form
    55,952,225/120,407,509 = 120,407,509/x
  3. Step 3: Cross multiply
    55,952,225x = 120,407,509 × 120,407,509
  4. Step 4: Simplify right side
    55,952,225x = 14,497,968,223,585,080
  5. Step 5: Solve for x
    x = 14,497,968,223,585,080/55,952,225
  6. Step 6: Final answer
    x = 259,113,345.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.