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Finding the Third Proportional to 116,478,960.75 and 185,430,732.75

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Solution

The third proportional to 116,478,960.75 and 185,430,732.75 is: 295,199,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,478,960.75 : 185,430,732.75 = 185,430,732.75 : x
  2. Step 2: Convert to fraction form
    116,478,960.75/185,430,732.75 = 185,430,732.75/x
  3. Step 3: Cross multiply
    116,478,960.75x = 185,430,732.75 × 185,430,732.75
  4. Step 4: Simplify right side
    116,478,960.75x = 34,384,556,648,201,924
  5. Step 5: Solve for x
    x = 34,384,556,648,201,924/116,478,960.75
  6. Step 6: Final answer
    x = 295,199,720.42

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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.