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Finding the Third Proportional to 49,091,480 and 106,801,974

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Solution

The third proportional to 49,091,480 and 106,801,974 is: 232,355,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091,480 : 106,801,974 = 106,801,974 : x
  2. Step 2: Convert to fraction form
    49,091,480/106,801,974 = 106,801,974/x
  3. Step 3: Cross multiply
    49,091,480x = 106,801,974 × 106,801,974
  4. Step 4: Simplify right side
    49,091,480x = 11,406,661,650,296,676
  5. Step 5: Solve for x
    x = 11,406,661,650,296,676/49,091,480
  6. Step 6: Final answer
    x = 232,355,220.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.