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Finding the Third Proportional to 108,276,592 and 177,747,960

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Solution

The third proportional to 108,276,592 and 177,747,960 is: 291,792,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,276,592 : 177,747,960 = 177,747,960 : x
  2. Step 2: Convert to fraction form
    108,276,592/177,747,960 = 177,747,960/x
  3. Step 3: Cross multiply
    108,276,592x = 177,747,960 × 177,747,960
  4. Step 4: Simplify right side
    108,276,592x = 31,594,337,284,161,600
  5. Step 5: Solve for x
    x = 31,594,337,284,161,600/108,276,592
  6. Step 6: Final answer
    x = 291,792,867.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.