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Finding the Third Proportional to 48,304,640 and 105,567,232

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Solution

The third proportional to 48,304,640 and 105,567,232 is: 230,711,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,304,640 : 105,567,232 = 105,567,232 : x
  2. Step 2: Convert to fraction form
    48,304,640/105,567,232 = 105,567,232/x
  3. Step 3: Cross multiply
    48,304,640x = 105,567,232 × 105,567,232
  4. Step 4: Simplify right side
    48,304,640x = 11,144,440,472,141,824
  5. Step 5: Solve for x
    x = 11,144,440,472,141,824/48,304,640
  6. Step 6: Final answer
    x = 230,711,593.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.