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Finding the Third Proportional to 109,089,801 and 235,484,563.50

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Solution

The third proportional to 109,089,801 and 235,484,563.50 is: 508,324,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,801 : 235,484,563.50 = 235,484,563.50 : x
  2. Step 2: Convert to fraction form
    109,089,801/235,484,563.50 = 235,484,563.50/x
  3. Step 3: Cross multiply
    109,089,801x = 235,484,563.50 × 235,484,563.50
  4. Step 4: Simplify right side
    109,089,801x = 55,452,979,646,785,536
  5. Step 5: Solve for x
    x = 55,452,979,646,785,536/109,089,801
  6. Step 6: Final answer
    x = 508,324,143.40

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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.