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Finding the Third Proportional to 105,432,868,710 and 160,616,081,975

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Solution

The third proportional to 105,432,868,710 and 160,616,081,975 is: 244,682,005,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432,868,710 : 160,616,081,975 = 160,616,081,975 : x
  2. Step 2: Convert to fraction form
    105,432,868,710/160,616,081,975 = 160,616,081,975/x
  3. Step 3: Cross multiply
    105,432,868,710x = 160,616,081,975 × 160,616,081,975
  4. Step 4: Simplify right side
    105,432,868,710x = 25,797,525,788,999,920,123,904
  5. Step 5: Solve for x
    x = 25,797,525,788,999,920,123,904/105,432,868,710
  6. Step 6: Final answer
    x = 244,682,005,760.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.