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Finding the Third Proportional to 78,554,950,092 and 172,318,543,080

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Solution

The third proportional to 78,554,950,092 and 172,318,543,080 is: 377,998,843,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,950,092 : 172,318,543,080 = 172,318,543,080 : x
  2. Step 2: Convert to fraction form
    78,554,950,092/172,318,543,080 = 172,318,543,080/x
  3. Step 3: Cross multiply
    78,554,950,092x = 172,318,543,080 × 172,318,543,080
  4. Step 4: Simplify right side
    78,554,950,092x = 29,693,680,289,213,814,145,024
  5. Step 5: Solve for x
    x = 29,693,680,289,213,814,145,024/78,554,950,092
  6. Step 6: Final answer
    x = 377,998,843,541.21

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