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Finding the Third Proportional to 161,103,710,598 and 252,724,179,936

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Solution

The third proportional to 161,103,710,598 and 252,724,179,936 is: 396,449,658,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,103,710,598 : 252,724,179,936 = 252,724,179,936 : x
  2. Step 2: Convert to fraction form
    161,103,710,598/252,724,179,936 = 252,724,179,936/x
  3. Step 3: Cross multiply
    161,103,710,598x = 252,724,179,936 × 252,724,179,936
  4. Step 4: Simplify right side
    161,103,710,598x = 63,869,511,124,323,707,912,192
  5. Step 5: Solve for x
    x = 63,869,511,124,323,707,912,192/161,103,710,598
  6. Step 6: Final answer
    x = 396,449,658,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.