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Finding the Third Proportional to 174,595,100 and 242,760,531

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Solution

The third proportional to 174,595,100 and 242,760,531 is: 337,539,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,595,100 : 242,760,531 = 242,760,531 : x
  2. Step 2: Convert to fraction form
    174,595,100/242,760,531 = 242,760,531/x
  3. Step 3: Cross multiply
    174,595,100x = 242,760,531 × 242,760,531
  4. Step 4: Simplify right side
    174,595,100x = 58,932,675,411,401,960
  5. Step 5: Solve for x
    x = 58,932,675,411,401,960/174,595,100
  6. Step 6: Final answer
    x = 337,539,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.