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Finding the Third Proportional to 245,172,838 and 365,633,169

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Solution

The third proportional to 245,172,838 and 365,633,169 is: 545,279,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,172,838 : 365,633,169 = 365,633,169 : x
  2. Step 2: Convert to fraction form
    245,172,838/365,633,169 = 365,633,169/x
  3. Step 3: Cross multiply
    245,172,838x = 365,633,169 × 365,633,169
  4. Step 4: Simplify right side
    245,172,838x = 133,687,614,272,982,560
  5. Step 5: Solve for x
    x = 133,687,614,272,982,560/245,172,838
  6. Step 6: Final answer
    x = 545,279,058.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.