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Finding the Third Proportional to 215,647,373.25 and 465,218,397

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Solution

The third proportional to 215,647,373.25 and 465,218,397 is: 1,003,620,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,647,373.25 : 465,218,397 = 465,218,397 : x
  2. Step 2: Convert to fraction form
    215,647,373.25/465,218,397 = 465,218,397/x
  3. Step 3: Cross multiply
    215,647,373.25x = 465,218,397 × 465,218,397
  4. Step 4: Simplify right side
    215,647,373.25x = 216,428,156,907,249,600
  5. Step 5: Solve for x
    x = 216,428,156,907,249,600/215,647,373.25
  6. Step 6: Final answer
    x = 1,003,620,649.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.