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Finding the Third Proportional to 54,709,776 and 118,498,324

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Solution

The third proportional to 54,709,776 and 118,498,324 is: 256,660,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709,776 : 118,498,324 = 118,498,324 : x
  2. Step 2: Convert to fraction form
    54,709,776/118,498,324 = 118,498,324/x
  3. Step 3: Cross multiply
    54,709,776x = 118,498,324 × 118,498,324
  4. Step 4: Simplify right side
    54,709,776x = 14,041,852,790,808,976
  5. Step 5: Solve for x
    x = 14,041,852,790,808,976/54,709,776
  6. Step 6: Final answer
    x = 256,660,761.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.