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Finding the Third Proportional to 49,131,062.16 and 105,163,871.06

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Solution

The third proportional to 49,131,062.16 and 105,163,871.06 is: 225,100,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131,062.16 : 105,163,871.06 = 105,163,871.06 : x
  2. Step 2: Convert to fraction form
    49,131,062.16/105,163,871.06 = 105,163,871.06/x
  3. Step 3: Cross multiply
    49,131,062.16x = 105,163,871.06 × 105,163,871.06
  4. Step 4: Simplify right side
    49,131,062.16x = 11,059,439,776,850,124
  5. Step 5: Solve for x
    x = 11,059,439,776,850,124/49,131,062.16
  6. Step 6: Final answer
    x = 225,100,767.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.