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Finding the Third Proportional to 105,789,968 and 163,472,456

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Solution

The third proportional to 105,789,968 and 163,472,456 is: 252,606,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,968 : 163,472,456 = 163,472,456 : x
  2. Step 2: Convert to fraction form
    105,789,968/163,472,456 = 163,472,456/x
  3. Step 3: Cross multiply
    105,789,968x = 163,472,456 × 163,472,456
  4. Step 4: Simplify right side
    105,789,968x = 26,723,243,870,671,936
  5. Step 5: Solve for x
    x = 26,723,243,870,671,936/105,789,968
  6. Step 6: Final answer
    x = 252,606,597.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.