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Finding the Third Proportional to 107,223,622 and 234,110,564

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Solution

The third proportional to 107,223,622 and 234,110,564 is: 511,153,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223,622 : 234,110,564 = 234,110,564 : x
  2. Step 2: Convert to fraction form
    107,223,622/234,110,564 = 234,110,564/x
  3. Step 3: Cross multiply
    107,223,622x = 234,110,564 × 234,110,564
  4. Step 4: Simplify right side
    107,223,622x = 54,807,756,176,398,096
  5. Step 5: Solve for x
    x = 54,807,756,176,398,096/107,223,622
  6. Step 6: Final answer
    x = 511,153,747.23

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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.