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Finding the Third Proportional to 98,182,729.88 and 213,603,480.75

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Solution

The third proportional to 98,182,729.88 and 213,603,480.75 is: 464,709,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182,729.88 : 213,603,480.75 = 213,603,480.75 : x
  2. Step 2: Convert to fraction form
    98,182,729.88/213,603,480.75 = 213,603,480.75/x
  3. Step 3: Cross multiply
    98,182,729.88x = 213,603,480.75 × 213,603,480.75
  4. Step 4: Simplify right side
    98,182,729.88x = 45,626,446,988,515,624
  5. Step 5: Solve for x
    x = 45,626,446,988,515,624/98,182,729.88
  6. Step 6: Final answer
    x = 464,709,496.74

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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.