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Finding the Third Proportional to 121,448,814.75 and 264,461,449.50

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Solution

The third proportional to 121,448,814.75 and 264,461,449.50 is: 575,879,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,448,814.75 : 264,461,449.50 = 264,461,449.50 : x
  2. Step 2: Convert to fraction form
    121,448,814.75/264,461,449.50 = 264,461,449.50/x
  3. Step 3: Cross multiply
    121,448,814.75x = 264,461,449.50 × 264,461,449.50
  4. Step 4: Simplify right side
    121,448,814.75x = 69,939,858,271,641,048
  5. Step 5: Solve for x
    x = 69,939,858,271,641,048/121,448,814.75
  6. Step 6: Final answer
    x = 575,879,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.