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Finding the Third Proportional to 54,541,668.75 and 117,736,476

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Solution

The third proportional to 54,541,668.75 and 117,736,476 is: 254,152,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,541,668.75 : 117,736,476 = 117,736,476 : x
  2. Step 2: Convert to fraction form
    54,541,668.75/117,736,476 = 117,736,476/x
  3. Step 3: Cross multiply
    54,541,668.75x = 117,736,476 × 117,736,476
  4. Step 4: Simplify right side
    54,541,668.75x = 13,861,877,780,898,576
  5. Step 5: Solve for x
    x = 13,861,877,780,898,576/54,541,668.75
  6. Step 6: Final answer
    x = 254,152,065.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.