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Finding the Third Proportional to 105,432,868,708 and 160,616,081,972

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Solution

The third proportional to 105,432,868,708 and 160,616,081,972 is: 244,682,005,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432,868,708 : 160,616,081,972 = 160,616,081,972 : x
  2. Step 2: Convert to fraction form
    105,432,868,708/160,616,081,972 = 160,616,081,972/x
  3. Step 3: Cross multiply
    105,432,868,708x = 160,616,081,972 × 160,616,081,972
  4. Step 4: Simplify right side
    105,432,868,708x = 25,797,525,788,036,224,253,952
  5. Step 5: Solve for x
    x = 25,797,525,788,036,224,253,952/105,432,868,708
  6. Step 6: Final answer
    x = 244,682,005,755.56

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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.