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Finding the Third Proportional to 180,996,930 and 383,711,850

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Solution

The third proportional to 180,996,930 and 383,711,850 is: 813,465,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,996,930 : 383,711,850 = 383,711,850 : x
  2. Step 2: Convert to fraction form
    180,996,930/383,711,850 = 383,711,850/x
  3. Step 3: Cross multiply
    180,996,930x = 383,711,850 × 383,711,850
  4. Step 4: Simplify right side
    180,996,930x = 147,234,783,830,422,496
  5. Step 5: Solve for x
    x = 147,234,783,830,422,496/180,996,930
  6. Step 6: Final answer
    x = 813,465,641.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.