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Finding the Third Proportional to 49,210,015.50 and 114,976,806.75

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Solution

The third proportional to 49,210,015.50 and 114,976,806.75 is: 268,637,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,210,015.50 : 114,976,806.75 = 114,976,806.75 : x
  2. Step 2: Convert to fraction form
    49,210,015.50/114,976,806.75 = 114,976,806.75/x
  3. Step 3: Cross multiply
    49,210,015.50x = 114,976,806.75 × 114,976,806.75
  4. Step 4: Simplify right side
    49,210,015.50x = 13,219,666,090,426,846
  5. Step 5: Solve for x
    x = 13,219,666,090,426,846/49,210,015.50
  6. Step 6: Final answer
    x = 268,637,714.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.