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Finding the Third Proportional to 85,551,516 and 184,739,328

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Solution

The third proportional to 85,551,516 and 184,739,328 is: 398,924,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,551,516 : 184,739,328 = 184,739,328 : x
  2. Step 2: Convert to fraction form
    85,551,516/184,739,328 = 184,739,328/x
  3. Step 3: Cross multiply
    85,551,516x = 184,739,328 × 184,739,328
  4. Step 4: Simplify right side
    85,551,516x = 34,128,619,309,891,584
  5. Step 5: Solve for x
    x = 34,128,619,309,891,584/85,551,516
  6. Step 6: Final answer
    x = 398,924,775.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.