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Finding the Third Proportional to 230,626,001.25 and 371,383,817.06

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Solution

The third proportional to 230,626,001.25 and 371,383,817.06 is: 598,050,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,626,001.25 : 371,383,817.06 = 371,383,817.06 : x
  2. Step 2: Convert to fraction form
    230,626,001.25/371,383,817.06 = 371,383,817.06/x
  3. Step 3: Cross multiply
    230,626,001.25x = 371,383,817.06 × 371,383,817.06
  4. Step 4: Simplify right side
    230,626,001.25x = 137,925,939,575,912,464
  5. Step 5: Solve for x
    x = 137,925,939,575,912,464/230,626,001.25
  6. Step 6: Final answer
    x = 598,050,258.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.