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Finding the Third Proportional to 280,781,320.35 and 438,169,961.76

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Solution

The third proportional to 280,781,320.35 and 438,169,961.76 is: 683,780,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,781,320.35 : 438,169,961.76 = 438,169,961.76 : x
  2. Step 2: Convert to fraction form
    280,781,320.35/438,169,961.76 = 438,169,961.76/x
  3. Step 3: Cross multiply
    280,781,320.35x = 438,169,961.76 × 438,169,961.76
  4. Step 4: Simplify right side
    280,781,320.35x = 191,992,915,384,684,864
  5. Step 5: Solve for x
    x = 191,992,915,384,684,864/280,781,320.35
  6. Step 6: Final answer
    x = 683,780,940.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.