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Finding the Third Proportional to 121,052,070 and 192,711,742.31

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Solution

The third proportional to 121,052,070 and 192,711,742.31 is: 306,792,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,052,070 : 192,711,742.31 = 192,711,742.31 : x
  2. Step 2: Convert to fraction form
    121,052,070/192,711,742.31 = 192,711,742.31/x
  3. Step 3: Cross multiply
    121,052,070x = 192,711,742.31 × 192,711,742.31
  4. Step 4: Simplify right side
    121,052,070x = 37,137,815,625,119,400
  5. Step 5: Solve for x
    x = 37,137,815,625,119,400/121,052,070
  6. Step 6: Final answer
    x = 306,792,074.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.