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Finding the Third Proportional to 77,161,390,020 and 166,145,925,114

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Solution

The third proportional to 77,161,390,020 and 166,145,925,114 is: 357,749,755,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,390,020 : 166,145,925,114 = 166,145,925,114 : x
  2. Step 2: Convert to fraction form
    77,161,390,020/166,145,925,114 = 166,145,925,114/x
  3. Step 3: Cross multiply
    77,161,390,020x = 166,145,925,114 × 166,145,925,114
  4. Step 4: Simplify right side
    77,161,390,020x = 27,604,468,431,986,897,190,912
  5. Step 5: Solve for x
    x = 27,604,468,431,986,897,190,912/77,161,390,020
  6. Step 6: Final answer
    x = 357,749,755,737.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.