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Finding the Third Proportional to 137,767,280 and 297,450,356

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Solution

The third proportional to 137,767,280 and 297,450,356 is: 642,218,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767,280 : 297,450,356 = 297,450,356 : x
  2. Step 2: Convert to fraction form
    137,767,280/297,450,356 = 297,450,356/x
  3. Step 3: Cross multiply
    137,767,280x = 297,450,356 × 297,450,356
  4. Step 4: Simplify right side
    137,767,280x = 88,476,714,284,526,736
  5. Step 5: Solve for x
    x = 88,476,714,284,526,736/137,767,280
  6. Step 6: Final answer
    x = 642,218,633.37

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Why These Related Problems?

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