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Finding the Third Proportional to 234,866,304 and 491,147,712

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Solution

The third proportional to 234,866,304 and 491,147,712 is: 1,027,078,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,866,304 : 491,147,712 = 491,147,712 : x
  2. Step 2: Convert to fraction form
    234,866,304/491,147,712 = 491,147,712/x
  3. Step 3: Cross multiply
    234,866,304x = 491,147,712 × 491,147,712
  4. Step 4: Simplify right side
    234,866,304x = 241,226,075,002,834,944
  5. Step 5: Solve for x
    x = 241,226,075,002,834,944/234,866,304
  6. Step 6: Final answer
    x = 1,027,078,260.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.