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Finding the Third Proportional to 82,270,851 and 120,377,808

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Solution

The third proportional to 82,270,851 and 120,377,808 is: 176,135,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270,851 : 120,377,808 = 120,377,808 : x
  2. Step 2: Convert to fraction form
    82,270,851/120,377,808 = 120,377,808/x
  3. Step 3: Cross multiply
    82,270,851x = 120,377,808 × 120,377,808
  4. Step 4: Simplify right side
    82,270,851x = 14,490,816,658,884,864
  5. Step 5: Solve for x
    x = 14,490,816,658,884,864/82,270,851
  6. Step 6: Final answer
    x = 176,135,490.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.