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Finding the Third Proportional to 54,545,265 and 121,198,086

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Solution

The third proportional to 54,545,265 and 121,198,086 is: 269,298,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,265 : 121,198,086 = 121,198,086 : x
  2. Step 2: Convert to fraction form
    54,545,265/121,198,086 = 121,198,086/x
  3. Step 3: Cross multiply
    54,545,265x = 121,198,086 × 121,198,086
  4. Step 4: Simplify right side
    54,545,265x = 14,688,976,050,063,396
  5. Step 5: Solve for x
    x = 14,688,976,050,063,396/54,545,265
  6. Step 6: Final answer
    x = 269,298,830.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.