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Finding the Third Proportional to 180,580,332 and 276,699,228

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Solution

The third proportional to 180,580,332 and 276,699,228 is: 423,980,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,580,332 : 276,699,228 = 276,699,228 : x
  2. Step 2: Convert to fraction form
    180,580,332/276,699,228 = 276,699,228/x
  3. Step 3: Cross multiply
    180,580,332x = 276,699,228 × 276,699,228
  4. Step 4: Simplify right side
    180,580,332x = 76,562,462,775,795,984
  5. Step 5: Solve for x
    x = 76,562,462,775,795,984/180,580,332
  6. Step 6: Final answer
    x = 423,980,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.