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Finding the Third Proportional to 159,215,415.75 and 340,564,533.75

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Solution

The third proportional to 159,215,415.75 and 340,564,533.75 is: 728,473,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,215,415.75 : 340,564,533.75 = 340,564,533.75 : x
  2. Step 2: Convert to fraction form
    159,215,415.75/340,564,533.75 = 340,564,533.75/x
  3. Step 3: Cross multiply
    159,215,415.75x = 340,564,533.75 × 340,564,533.75
  4. Step 4: Simplify right side
    159,215,415.75x = 115,984,201,648,354,896
  5. Step 5: Solve for x
    x = 115,984,201,648,354,896/159,215,415.75
  6. Step 6: Final answer
    x = 728,473,440.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.