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Finding the Third Proportional to 46,839,721.50 and 101,498,693.63

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Solution

The third proportional to 46,839,721.50 and 101,498,693.63 is: 219,941,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,839,721.50 : 101,498,693.63 = 101,498,693.63 : x
  2. Step 2: Convert to fraction form
    46,839,721.50/101,498,693.63 = 101,498,693.63/x
  3. Step 3: Cross multiply
    46,839,721.50x = 101,498,693.63 × 101,498,693.63
  4. Step 4: Simplify right side
    46,839,721.50x = 10,301,984,807,581,616
  5. Step 5: Solve for x
    x = 10,301,984,807,581,616/46,839,721.50
  6. Step 6: Final answer
    x = 219,941,205.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.