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Finding the Third Proportional to 184,088,589 and 409,039,904

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Solution

The third proportional to 184,088,589 and 409,039,904 is: 908,875,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,088,589 : 409,039,904 = 409,039,904 : x
  2. Step 2: Convert to fraction form
    184,088,589/409,039,904 = 409,039,904/x
  3. Step 3: Cross multiply
    184,088,589x = 409,039,904 × 409,039,904
  4. Step 4: Simplify right side
    184,088,589x = 167,313,643,064,329,216
  5. Step 5: Solve for x
    x = 167,313,643,064,329,216/184,088,589
  6. Step 6: Final answer
    x = 908,875,688.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.