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Finding the Third Proportional to 180,811,176 and 392,445,971

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Solution

The third proportional to 180,811,176 and 392,445,971 is: 851,793,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811,176 : 392,445,971 = 392,445,971 : x
  2. Step 2: Convert to fraction form
    180,811,176/392,445,971 = 392,445,971/x
  3. Step 3: Cross multiply
    180,811,176x = 392,445,971 × 392,445,971
  4. Step 4: Simplify right side
    180,811,176x = 154,013,840,154,132,832
  5. Step 5: Solve for x
    x = 154,013,840,154,132,832/180,811,176
  6. Step 6: Final answer
    x = 851,793,808.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.