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Finding the Third Proportional to 238,053,902 and 515,833,562

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Solution

The third proportional to 238,053,902 and 515,833,562 is: 1,117,747,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,053,902 : 515,833,562 = 515,833,562 : x
  2. Step 2: Convert to fraction form
    238,053,902/515,833,562 = 515,833,562/x
  3. Step 3: Cross multiply
    238,053,902x = 515,833,562 × 515,833,562
  4. Step 4: Simplify right side
    238,053,902x = 266,084,263,685,607,840
  5. Step 5: Solve for x
    x = 266,084,263,685,607,840/238,053,902
  6. Step 6: Final answer
    x = 1,117,747,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.