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Finding the Third Proportional to 169,089,660 and 261,816,468

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Solution

The third proportional to 169,089,660 and 261,816,468 is: 405,393,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,089,660 : 261,816,468 = 261,816,468 : x
  2. Step 2: Convert to fraction form
    169,089,660/261,816,468 = 261,816,468/x
  3. Step 3: Cross multiply
    169,089,660x = 261,816,468 × 261,816,468
  4. Step 4: Simplify right side
    169,089,660x = 68,547,862,915,995,024
  5. Step 5: Solve for x
    x = 68,547,862,915,995,024/169,089,660
  6. Step 6: Final answer
    x = 405,393,581.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.