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Finding the Third Proportional to 178,064,232,192 and 384,021,952,272

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Solution

The third proportional to 178,064,232,192 and 384,021,952,272 is: 828,200,352,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,064,232,192 : 384,021,952,272 = 384,021,952,272 : x
  2. Step 2: Convert to fraction form
    178,064,232,192/384,021,952,272 = 384,021,952,272/x
  3. Step 3: Cross multiply
    178,064,232,192x = 384,021,952,272 × 384,021,952,272
  4. Step 4: Simplify right side
    178,064,232,192x = 147,472,859,826,798,244,921,344
  5. Step 5: Solve for x
    x = 147,472,859,826,798,244,921,344/178,064,232,192
  6. Step 6: Final answer
    x = 828,200,352,262.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.