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Finding the Third Proportional to 86,078,644 and 184,437,516

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Solution

The third proportional to 86,078,644 and 184,437,516 is: 395,187,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078,644 : 184,437,516 = 184,437,516 : x
  2. Step 2: Convert to fraction form
    86,078,644/184,437,516 = 184,437,516/x
  3. Step 3: Cross multiply
    86,078,644x = 184,437,516 × 184,437,516
  4. Step 4: Simplify right side
    86,078,644x = 34,017,197,308,250,256
  5. Step 5: Solve for x
    x = 34,017,197,308,250,256/86,078,644
  6. Step 6: Final answer
    x = 395,187,420.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.