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Finding the Third Proportional to 85,256,429.50 and 184,850,567.75

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Solution

The third proportional to 85,256,429.50 and 184,850,567.75 is: 400,787,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,256,429.50 : 184,850,567.75 = 184,850,567.75 : x
  2. Step 2: Convert to fraction form
    85,256,429.50/184,850,567.75 = 184,850,567.75/x
  3. Step 3: Cross multiply
    85,256,429.50x = 184,850,567.75 × 184,850,567.75
  4. Step 4: Simplify right side
    85,256,429.50x = 34,169,732,397,497,340
  5. Step 5: Solve for x
    x = 34,169,732,397,497,340/85,256,429.50
  6. Step 6: Final answer
    x = 400,787,748.18

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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.