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Finding the Third Proportional to 42,683,976.75 and 91,841,763

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Solution

The third proportional to 42,683,976.75 and 91,841,763 is: 197,613,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683,976.75 : 91,841,763 = 91,841,763 : x
  2. Step 2: Convert to fraction form
    42,683,976.75/91,841,763 = 91,841,763/x
  3. Step 3: Cross multiply
    42,683,976.75x = 91,841,763 × 91,841,763
  4. Step 4: Simplify right side
    42,683,976.75x = 8,434,909,430,948,169
  5. Step 5: Solve for x
    x = 8,434,909,430,948,169/42,683,976.75
  6. Step 6: Final answer
    x = 197,613,017.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.