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Finding the Third Proportional to 146,044,794 and 208,830,490

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Solution

The third proportional to 146,044,794 and 208,830,490 is: 298,608,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,044,794 : 208,830,490 = 208,830,490 : x
  2. Step 2: Convert to fraction form
    146,044,794/208,830,490 = 208,830,490/x
  3. Step 3: Cross multiply
    146,044,794x = 208,830,490 × 208,830,490
  4. Step 4: Simplify right side
    146,044,794x = 43,610,173,553,640,096
  5. Step 5: Solve for x
    x = 43,610,173,553,640,096/146,044,794
  6. Step 6: Final answer
    x = 298,608,203.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.