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Finding the Third Proportional to 116,231,031,075 and 180,466,084,628

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Solution

The third proportional to 116,231,031,075 and 180,466,084,628 is: 280,200,626,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,231,031,075 : 180,466,084,628 = 180,466,084,628 : x
  2. Step 2: Convert to fraction form
    116,231,031,075/180,466,084,628 = 180,466,084,628/x
  3. Step 3: Cross multiply
    116,231,031,075x = 180,466,084,628 × 180,466,084,628
  4. Step 4: Simplify right side
    116,231,031,075x = 32,568,007,700,960,459,620,352
  5. Step 5: Solve for x
    x = 32,568,007,700,960,459,620,352/116,231,031,075
  6. Step 6: Final answer
    x = 280,200,626,284.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.