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Finding the Third Proportional to 137,767,235.50 and 297,450,244.13

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Solution

The third proportional to 137,767,235.50 and 297,450,244.13 is: 642,218,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767,235.50 : 297,450,244.13 = 297,450,244.13 : x
  2. Step 2: Convert to fraction form
    137,767,235.50/297,450,244.13 = 297,450,244.13/x
  3. Step 3: Cross multiply
    137,767,235.50x = 297,450,244.13 × 297,450,244.13
  4. Step 4: Simplify right side
    137,767,235.50x = 88,476,647,730,022,096
  5. Step 5: Solve for x
    x = 88,476,647,730,022,096/137,767,235.50
  6. Step 6: Final answer
    x = 642,218,357.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.