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Finding the Third Proportional to 47,693,304.56 and 103,309,841.81

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Solution

The third proportional to 47,693,304.56 and 103,309,841.81 is: 223,782,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693,304.56 : 103,309,841.81 = 103,309,841.81 : x
  2. Step 2: Convert to fraction form
    47,693,304.56/103,309,841.81 = 103,309,841.81/x
  3. Step 3: Cross multiply
    47,693,304.56x = 103,309,841.81 × 103,309,841.81
  4. Step 4: Simplify right side
    47,693,304.56x = 10,672,923,415,323,774
  5. Step 5: Solve for x
    x = 10,672,923,415,323,774/47,693,304.56
  6. Step 6: Final answer
    x = 223,782,426.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.