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Finding the Third Proportional to 148,980,660 and 320,730,092

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Solution

The third proportional to 148,980,660 and 320,730,092 is: 690,477,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,660 : 320,730,092 = 320,730,092 : x
  2. Step 2: Convert to fraction form
    148,980,660/320,730,092 = 320,730,092/x
  3. Step 3: Cross multiply
    148,980,660x = 320,730,092 × 320,730,092
  4. Step 4: Simplify right side
    148,980,660x = 102,867,791,914,328,464
  5. Step 5: Solve for x
    x = 102,867,791,914,328,464/148,980,660
  6. Step 6: Final answer
    x = 690,477,488.25

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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.