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Finding the Third Proportional to 54,946,080 and 108,509,256

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Solution

The third proportional to 54,946,080 and 108,509,256 is: 214,287,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946,080 : 108,509,256 = 108,509,256 : x
  2. Step 2: Convert to fraction form
    54,946,080/108,509,256 = 108,509,256/x
  3. Step 3: Cross multiply
    54,946,080x = 108,509,256 × 108,509,256
  4. Step 4: Simplify right side
    54,946,080x = 11,774,258,637,673,536
  5. Step 5: Solve for x
    x = 11,774,258,637,673,536/54,946,080
  6. Step 6: Final answer
    x = 214,287,509.46

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.