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Finding the Third Proportional to 169,054,830 and 258,610,065

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Solution

The third proportional to 169,054,830 and 258,610,065 is: 395,606,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,054,830 : 258,610,065 = 258,610,065 : x
  2. Step 2: Convert to fraction form
    169,054,830/258,610,065 = 258,610,065/x
  3. Step 3: Cross multiply
    169,054,830x = 258,610,065 × 258,610,065
  4. Step 4: Simplify right side
    169,054,830x = 66,879,165,719,304,224
  5. Step 5: Solve for x
    x = 66,879,165,719,304,224/169,054,830
  6. Step 6: Final answer
    x = 395,606,358.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.