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Finding the Third Proportional to 114,972,017.63 and 252,202,863.09

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Solution

The third proportional to 114,972,017.63 and 252,202,863.09 is: 553,232,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,972,017.63 : 252,202,863.09 = 252,202,863.09 : x
  2. Step 2: Convert to fraction form
    114,972,017.63/252,202,863.09 = 252,202,863.09/x
  3. Step 3: Cross multiply
    114,972,017.63x = 252,202,863.09 × 252,202,863.09
  4. Step 4: Simplify right side
    114,972,017.63x = 63,606,284,152,684,808
  5. Step 5: Solve for x
    x = 63,606,284,152,684,808/114,972,017.63
  6. Step 6: Final answer
    x = 553,232,738.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.