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Finding the Third Proportional to 138,178,450.13 and 295,488,772.88

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Solution

The third proportional to 138,178,450.13 and 295,488,772.88 is: 631,890,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178,450.13 : 295,488,772.88 = 295,488,772.88 : x
  2. Step 2: Convert to fraction form
    138,178,450.13/295,488,772.88 = 295,488,772.88/x
  3. Step 3: Cross multiply
    138,178,450.13x = 295,488,772.88 × 295,488,772.88
  4. Step 4: Simplify right side
    138,178,450.13x = 87,313,614,895,173,328
  5. Step 5: Solve for x
    x = 87,313,614,895,173,328/138,178,450.13
  6. Step 6: Final answer
    x = 631,890,246.39

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