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Finding the Third Proportional to 66,214,617.75 and 154,658,013.75

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Solution

The third proportional to 66,214,617.75 and 154,658,013.75 is: 361,235,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,214,617.75 : 154,658,013.75 = 154,658,013.75 : x
  2. Step 2: Convert to fraction form
    66,214,617.75/154,658,013.75 = 154,658,013.75/x
  3. Step 3: Cross multiply
    66,214,617.75x = 154,658,013.75 × 154,658,013.75
  4. Step 4: Simplify right side
    66,214,617.75x = 23,919,101,217,095,188
  5. Step 5: Solve for x
    x = 23,919,101,217,095,188/66,214,617.75
  6. Step 6: Final answer
    x = 361,235,963.14

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Why These Related Problems?

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