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Finding the Third Proportional to 172,458,136.50 and 378,304,520.25

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Solution

The third proportional to 172,458,136.50 and 378,304,520.25 is: 829,849,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458,136.50 : 378,304,520.25 = 378,304,520.25 : x
  2. Step 2: Convert to fraction form
    172,458,136.50/378,304,520.25 = 378,304,520.25/x
  3. Step 3: Cross multiply
    172,458,136.50x = 378,304,520.25 × 378,304,520.25
  4. Step 4: Simplify right side
    172,458,136.50x = 143,114,310,041,582,656
  5. Step 5: Solve for x
    x = 143,114,310,041,582,656/172,458,136.50
  6. Step 6: Final answer
    x = 829,849,567.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.