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Finding the Third Proportional to 47,149,419 and 103,063,927.50

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Solution

The third proportional to 47,149,419 and 103,063,927.50 is: 225,287,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149,419 : 103,063,927.50 = 103,063,927.50 : x
  2. Step 2: Convert to fraction form
    47,149,419/103,063,927.50 = 103,063,927.50/x
  3. Step 3: Cross multiply
    47,149,419x = 103,063,927.50 × 103,063,927.50
  4. Step 4: Simplify right side
    47,149,419x = 10,622,173,151,725,256
  5. Step 5: Solve for x
    x = 10,622,173,151,725,256/47,149,419
  6. Step 6: Final answer
    x = 225,287,466.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.