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Finding the Third Proportional to 238,053,906 and 515,833,570

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Solution

The third proportional to 238,053,906 and 515,833,570 is: 1,117,747,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,053,906 : 515,833,570 = 515,833,570 : x
  2. Step 2: Convert to fraction form
    238,053,906/515,833,570 = 515,833,570/x
  3. Step 3: Cross multiply
    238,053,906x = 515,833,570 × 515,833,570
  4. Step 4: Simplify right side
    238,053,906x = 266,084,271,938,944,896
  5. Step 5: Solve for x
    x = 266,084,271,938,944,896/238,053,906
  6. Step 6: Final answer
    x = 1,117,747,977.38

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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.