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Finding the Third Proportional to 100,674,751.50 and 155,462,834.25

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Solution

The third proportional to 100,674,751.50 and 155,462,834.25 is: 240,067,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674,751.50 : 155,462,834.25 = 155,462,834.25 : x
  2. Step 2: Convert to fraction form
    100,674,751.50/155,462,834.25 = 155,462,834.25/x
  3. Step 3: Cross multiply
    100,674,751.50x = 155,462,834.25 × 155,462,834.25
  4. Step 4: Simplify right side
    100,674,751.50x = 24,168,692,833,042,972
  5. Step 5: Solve for x
    x = 24,168,692,833,042,972/100,674,751.50
  6. Step 6: Final answer
    x = 240,067,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.