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Finding the Third Proportional to 128,575,919.50 and 281,715,934.25

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Solution

The third proportional to 128,575,919.50 and 281,715,934.25 is: 617,252,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,575,919.50 : 281,715,934.25 = 281,715,934.25 : x
  2. Step 2: Convert to fraction form
    128,575,919.50/281,715,934.25 = 281,715,934.25/x
  3. Step 3: Cross multiply
    128,575,919.50x = 281,715,934.25 × 281,715,934.25
  4. Step 4: Simplify right side
    128,575,919.50x = 79,363,867,610,350,320
  5. Step 5: Solve for x
    x = 79,363,867,610,350,320/128,575,919.50
  6. Step 6: Final answer
    x = 617,252,965.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.