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Finding the Third Proportional to 148,980,655 and 320,730,082

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Solution

The third proportional to 148,980,655 and 320,730,082 is: 690,477,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,655 : 320,730,082 = 320,730,082 : x
  2. Step 2: Convert to fraction form
    148,980,655/320,730,082 = 320,730,082/x
  3. Step 3: Cross multiply
    148,980,655x = 320,730,082 × 320,730,082
  4. Step 4: Simplify right side
    148,980,655x = 102,867,785,499,726,720
  5. Step 5: Solve for x
    x = 102,867,785,499,726,720/148,980,655
  6. Step 6: Final answer
    x = 690,477,468.36

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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.