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Finding the Third Proportional to 123,165,164.50 and 172,192,445

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Solution

The third proportional to 123,165,164.50 and 172,192,445 is: 240,735,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,165,164.50 : 172,192,445 = 172,192,445 : x
  2. Step 2: Convert to fraction form
    123,165,164.50/172,192,445 = 172,192,445/x
  3. Step 3: Cross multiply
    123,165,164.50x = 172,192,445 × 172,192,445
  4. Step 4: Simplify right side
    123,165,164.50x = 29,650,238,115,078,024
  5. Step 5: Solve for x
    x = 29,650,238,115,078,024/123,165,164.50
  6. Step 6: Final answer
    x = 240,735,586.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.