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Finding the Third Proportional to 117,698,672 and 161,568,144

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Solution

The third proportional to 117,698,672 and 161,568,144 is: 221,788,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698,672 : 161,568,144 = 161,568,144 : x
  2. Step 2: Convert to fraction form
    117,698,672/161,568,144 = 161,568,144/x
  3. Step 3: Cross multiply
    117,698,672x = 161,568,144 × 161,568,144
  4. Step 4: Simplify right side
    117,698,672x = 26,104,265,155,604,736
  5. Step 5: Solve for x
    x = 26,104,265,155,604,736/117,698,672
  6. Step 6: Final answer
    x = 221,788,952.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.