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Finding the Third Proportional to 184,966,780 and 385,235,756

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Solution

The third proportional to 184,966,780 and 385,235,756 is: 802,341,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,966,780 : 385,235,756 = 385,235,756 : x
  2. Step 2: Convert to fraction form
    184,966,780/385,235,756 = 385,235,756/x
  3. Step 3: Cross multiply
    184,966,780x = 385,235,756 × 385,235,756
  4. Step 4: Simplify right side
    184,966,780x = 148,406,587,700,891,520
  5. Step 5: Solve for x
    x = 148,406,587,700,891,520/184,966,780
  6. Step 6: Final answer
    x = 802,341,845.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.