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Finding the Third Proportional to 119,082,294 and 255,394,596

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Solution

The third proportional to 119,082,294 and 255,394,596 is: 547,742,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,082,294 : 255,394,596 = 255,394,596 : x
  2. Step 2: Convert to fraction form
    119,082,294/255,394,596 = 255,394,596/x
  3. Step 3: Cross multiply
    119,082,294x = 255,394,596 × 255,394,596
  4. Step 4: Simplify right side
    119,082,294x = 65,226,399,666,003,216
  5. Step 5: Solve for x
    x = 65,226,399,666,003,216/119,082,294
  6. Step 6: Final answer
    x = 547,742,216.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.