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Finding the Third Proportional to 77,487,498 and 170,089,110

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Solution

The third proportional to 77,487,498 and 170,089,110 is: 373,354,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487,498 : 170,089,110 = 170,089,110 : x
  2. Step 2: Convert to fraction form
    77,487,498/170,089,110 = 170,089,110/x
  3. Step 3: Cross multiply
    77,487,498x = 170,089,110 × 170,089,110
  4. Step 4: Simplify right side
    77,487,498x = 28,930,305,340,592,100
  5. Step 5: Solve for x
    x = 28,930,305,340,592,100/77,487,498
  6. Step 6: Final answer
    x = 373,354,490.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.