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Finding the Third Proportional to 51,388,652.81 and 110,968,316.72

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Solution

The third proportional to 51,388,652.81 and 110,968,316.72 is: 239,624,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,388,652.81 : 110,968,316.72 = 110,968,316.72 : x
  2. Step 2: Convert to fraction form
    51,388,652.81/110,968,316.72 = 110,968,316.72/x
  3. Step 3: Cross multiply
    51,388,652.81x = 110,968,316.72 × 110,968,316.72
  4. Step 4: Simplify right side
    51,388,652.81x = 12,313,967,315,392,810
  5. Step 5: Solve for x
    x = 12,313,967,315,392,810/51,388,652.81
  6. Step 6: Final answer
    x = 239,624,248.57

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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.