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Finding the Third Proportional to 142,874,937 and 302,917,866

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Solution

The third proportional to 142,874,937 and 302,917,866 is: 642,234,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,874,937 : 302,917,866 = 302,917,866 : x
  2. Step 2: Convert to fraction form
    142,874,937/302,917,866 = 302,917,866/x
  3. Step 3: Cross multiply
    142,874,937x = 302,917,866 × 302,917,866
  4. Step 4: Simplify right side
    142,874,937x = 91,759,233,541,993,952
  5. Step 5: Solve for x
    x = 91,759,233,541,993,952/142,874,937
  6. Step 6: Final answer
    x = 642,234,638.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.