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Finding the Third Proportional to 153,017,234.50 and 332,013,837.50

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Solution

The third proportional to 153,017,234.50 and 332,013,837.50 is: 720,397,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,017,234.50 : 332,013,837.50 = 332,013,837.50 : x
  2. Step 2: Convert to fraction form
    153,017,234.50/332,013,837.50 = 332,013,837.50/x
  3. Step 3: Cross multiply
    153,017,234.50x = 332,013,837.50 × 332,013,837.50
  4. Step 4: Simplify right side
    153,017,234.50x = 110,233,188,291,476,400
  5. Step 5: Solve for x
    x = 110,233,188,291,476,400/153,017,234.50
  6. Step 6: Final answer
    x = 720,397,206.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.