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Finding the Third Proportional to 127,789,414 and 182,740,358

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Solution

The third proportional to 127,789,414 and 182,740,358 is: 261,320,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,789,414 : 182,740,358 = 182,740,358 : x
  2. Step 2: Convert to fraction form
    127,789,414/182,740,358 = 182,740,358/x
  3. Step 3: Cross multiply
    127,789,414x = 182,740,358 × 182,740,358
  4. Step 4: Simplify right side
    127,789,414x = 33,394,038,441,968,164
  5. Step 5: Solve for x
    x = 33,394,038,441,968,164/127,789,414
  6. Step 6: Final answer
    x = 261,320,851.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.