Home / 83,692,514.25-180,209,704.50

Finding the Third Proportional to 83,692,514.25 and 180,209,704.50

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Solution

The third proportional to 83,692,514.25 and 180,209,704.50 is: 388,033,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692,514.25 : 180,209,704.50 = 180,209,704.50 : x
  2. Step 2: Convert to fraction form
    83,692,514.25/180,209,704.50 = 180,209,704.50/x
  3. Step 3: Cross multiply
    83,692,514.25x = 180,209,704.50 × 180,209,704.50
  4. Step 4: Simplify right side
    83,692,514.25x = 32,475,537,595,977,320
  5. Step 5: Solve for x
    x = 32,475,537,595,977,320/83,692,514.25
  6. Step 6: Final answer
    x = 388,033,958.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.