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Finding the Third Proportional to 184,140,739.13 and 398,930,643

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Solution

The third proportional to 184,140,739.13 and 398,930,643 is: 864,260,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,140,739.13 : 398,930,643 = 398,930,643 : x
  2. Step 2: Convert to fraction form
    184,140,739.13/398,930,643 = 398,930,643/x
  3. Step 3: Cross multiply
    184,140,739.13x = 398,930,643 × 398,930,643
  4. Step 4: Simplify right side
    184,140,739.13x = 159,145,657,924,393,440
  5. Step 5: Solve for x
    x = 159,145,657,924,393,440/184,140,739.13
  6. Step 6: Final answer
    x = 864,260,992.33

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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.