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Finding the Third Proportional to 184,088,585.25 and 409,039,895.25

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Solution

The third proportional to 184,088,585.25 and 409,039,895.25 is: 908,875,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,088,585.25 : 409,039,895.25 = 409,039,895.25 : x
  2. Step 2: Convert to fraction form
    184,088,585.25/409,039,895.25 = 409,039,895.25/x
  3. Step 3: Cross multiply
    184,088,585.25x = 409,039,895.25 × 409,039,895.25
  4. Step 4: Simplify right side
    184,088,585.25x = 167,313,635,906,130,976
  5. Step 5: Solve for x
    x = 167,313,635,906,130,976/184,088,585.25
  6. Step 6: Final answer
    x = 908,875,668.09

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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.