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Finding the Third Proportional to 110,745,549 and 238,660,021

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Solution

The third proportional to 110,745,549 and 238,660,021 is: 514,319,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745,549 : 238,660,021 = 238,660,021 : x
  2. Step 2: Convert to fraction form
    110,745,549/238,660,021 = 238,660,021/x
  3. Step 3: Cross multiply
    110,745,549x = 238,660,021 × 238,660,021
  4. Step 4: Simplify right side
    110,745,549x = 56,958,605,623,720,440
  5. Step 5: Solve for x
    x = 56,958,605,623,720,440/110,745,549
  6. Step 6: Final answer
    x = 514,319,592.42

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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.