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Finding the Third Proportional to 54,514,298 and 120,089,956

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Solution

The third proportional to 54,514,298 and 120,089,956 is: 264,547,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,514,298 : 120,089,956 = 120,089,956 : x
  2. Step 2: Convert to fraction form
    54,514,298/120,089,956 = 120,089,956/x
  3. Step 3: Cross multiply
    54,514,298x = 120,089,956 × 120,089,956
  4. Step 4: Simplify right side
    54,514,298x = 14,421,597,532,081,936
  5. Step 5: Solve for x
    x = 14,421,597,532,081,936/54,514,298
  6. Step 6: Final answer
    x = 264,547,064.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.