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Finding the Third Proportional to 54,142,522.50 and 116,914,549.50

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Solution

The third proportional to 54,142,522.50 and 116,914,549.50 is: 252,463,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142,522.50 : 116,914,549.50 = 116,914,549.50 : x
  2. Step 2: Convert to fraction form
    54,142,522.50/116,914,549.50 = 116,914,549.50/x
  3. Step 3: Cross multiply
    54,142,522.50x = 116,914,549.50 × 116,914,549.50
  4. Step 4: Simplify right side
    54,142,522.50x = 13,669,011,884,787,950
  5. Step 5: Solve for x
    x = 13,669,011,884,787,950/54,142,522.50
  6. Step 6: Final answer
    x = 252,463,521.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.