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Finding the Third Proportional to 69,884,642 and 108,097,635

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Solution

The third proportional to 69,884,642 and 108,097,635 is: 167,205,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,884,642 : 108,097,635 = 108,097,635 : x
  2. Step 2: Convert to fraction form
    69,884,642/108,097,635 = 108,097,635/x
  3. Step 3: Cross multiply
    69,884,642x = 108,097,635 × 108,097,635
  4. Step 4: Simplify right side
    69,884,642x = 11,685,098,692,593,224
  5. Step 5: Solve for x
    x = 11,685,098,692,593,224/69,884,642
  6. Step 6: Final answer
    x = 167,205,531.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.