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Finding the Third Proportional to 153,155,168 and 327,838,672

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Solution

The third proportional to 153,155,168 and 327,838,672 is: 701,760,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,155,168 : 327,838,672 = 327,838,672 : x
  2. Step 2: Convert to fraction form
    153,155,168/327,838,672 = 327,838,672/x
  3. Step 3: Cross multiply
    153,155,168x = 327,838,672 × 327,838,672
  4. Step 4: Simplify right side
    153,155,168x = 107,478,194,858,723,584
  5. Step 5: Solve for x
    x = 107,478,194,858,723,584/153,155,168
  6. Step 6: Final answer
    x = 701,760,157.77

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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.