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Finding the Third Proportional to 146,219,584 and 321,138,440

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Solution

The third proportional to 146,219,584 and 321,138,440 is: 705,308,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,219,584 : 321,138,440 = 321,138,440 : x
  2. Step 2: Convert to fraction form
    146,219,584/321,138,440 = 321,138,440/x
  3. Step 3: Cross multiply
    146,219,584x = 321,138,440 × 321,138,440
  4. Step 4: Simplify right side
    146,219,584x = 103,129,897,645,633,600
  5. Step 5: Solve for x
    x = 103,129,897,645,633,600/146,219,584
  6. Step 6: Final answer
    x = 705,308,378.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.