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Finding the Third Proportional to 80,495,933 and 125,526,863.50

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Solution

The third proportional to 80,495,933 and 125,526,863.50 is: 195,748,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,495,933 : 125,526,863.50 = 125,526,863.50 : x
  2. Step 2: Convert to fraction form
    80,495,933/125,526,863.50 = 125,526,863.50/x
  3. Step 3: Cross multiply
    80,495,933x = 125,526,863.50 × 125,526,863.50
  4. Step 4: Simplify right side
    80,495,933x = 15,756,993,460,147,632
  5. Step 5: Solve for x
    x = 15,756,993,460,147,632/80,495,933
  6. Step 6: Final answer
    x = 195,748,938.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.