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Finding the Third Proportional to 80,495,825 and 125,526,705.50

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Solution

The third proportional to 80,495,825 and 125,526,705.50 is: 195,748,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,495,825 : 125,526,705.50 = 125,526,705.50 : x
  2. Step 2: Convert to fraction form
    80,495,825/125,526,705.50 = 125,526,705.50/x
  3. Step 3: Cross multiply
    80,495,825x = 125,526,705.50 × 125,526,705.50
  4. Step 4: Simplify right side
    80,495,825x = 15,756,953,793,683,730
  5. Step 5: Solve for x
    x = 15,756,953,793,683,730/80,495,825
  6. Step 6: Final answer
    x = 195,748,708.63

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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.