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Finding the Third Proportional to 148,980,652.50 and 320,730,078

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Solution

The third proportional to 148,980,652.50 and 320,730,078 is: 690,477,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,652.50 : 320,730,078 = 320,730,078 : x
  2. Step 2: Convert to fraction form
    148,980,652.50/320,730,078 = 320,730,078/x
  3. Step 3: Cross multiply
    148,980,652.50x = 320,730,078 × 320,730,078
  4. Step 4: Simplify right side
    148,980,652.50x = 102,867,782,933,886,080
  5. Step 5: Solve for x
    x = 102,867,782,933,886,080/148,980,652.50
  6. Step 6: Final answer
    x = 690,477,462.73

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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.