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Finding the Third Proportional to 144,599,373 and 220,287,208.50

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Solution

The third proportional to 144,599,373 and 220,287,208.50 is: 335,592,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,599,373 : 220,287,208.50 = 220,287,208.50 : x
  2. Step 2: Convert to fraction form
    144,599,373/220,287,208.50 = 220,287,208.50/x
  3. Step 3: Cross multiply
    144,599,373x = 220,287,208.50 × 220,287,208.50
  4. Step 4: Simplify right side
    144,599,373x = 48,526,454,228,722,472
  5. Step 5: Solve for x
    x = 48,526,454,228,722,472/144,599,373
  6. Step 6: Final answer
    x = 335,592,424.93

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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.