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Finding the Third Proportional to 172,333,458,362.73 and 377,130,762,687.66

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Solution

The third proportional to 172,333,458,362.73 and 377,130,762,687.66 is: 825,304,694,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,333,458,362.73 : 377,130,762,687.66 = 377,130,762,687.66 : x
  2. Step 2: Convert to fraction form
    172,333,458,362.73/377,130,762,687.66 = 377,130,762,687.66/x
  3. Step 3: Cross multiply
    172,333,458,362.73x = 377,130,762,687.66 × 377,130,762,687.66
  4. Step 4: Simplify right side
    172,333,458,362.73x = 142,227,612,165,376,105,775,104
  5. Step 5: Solve for x
    x = 142,227,612,165,376,105,775,104/172,333,458,362.73
  6. Step 6: Final answer
    x = 825,304,694,263.22

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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.