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Finding the Third Proportional to 110,455,834.50 and 240,304,450.50

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Solution

The third proportional to 110,455,834.50 and 240,304,450.50 is: 522,799,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,455,834.50 : 240,304,450.50 = 240,304,450.50 : x
  2. Step 2: Convert to fraction form
    110,455,834.50/240,304,450.50 = 240,304,450.50/x
  3. Step 3: Cross multiply
    110,455,834.50x = 240,304,450.50 × 240,304,450.50
  4. Step 4: Simplify right side
    110,455,834.50x = 57,746,228,930,106,952
  5. Step 5: Solve for x
    x = 57,746,228,930,106,952/110,455,834.50
  6. Step 6: Final answer
    x = 522,799,263.54

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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.