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Finding the Third Proportional to 72,112,069.13 and 146,772,626.06

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Solution

The third proportional to 72,112,069.13 and 146,772,626.06 is: 298,732,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112,069.13 : 146,772,626.06 = 146,772,626.06 : x
  2. Step 2: Convert to fraction form
    72,112,069.13/146,772,626.06 = 146,772,626.06/x
  3. Step 3: Cross multiply
    72,112,069.13x = 146,772,626.06 × 146,772,626.06
  4. Step 4: Simplify right side
    72,112,069.13x = 21,542,203,761,282,456
  5. Step 5: Solve for x
    x = 21,542,203,761,282,456/72,112,069.13
  6. Step 6: Final answer
    x = 298,732,292.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.