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Finding the Third Proportional to 209,409,995.75 and 460,360,956.25

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Solution

The third proportional to 209,409,995.75 and 460,360,956.25 is: 1,012,044,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,409,995.75 : 460,360,956.25 = 460,360,956.25 : x
  2. Step 2: Convert to fraction form
    209,409,995.75/460,360,956.25 = 460,360,956.25/x
  3. Step 3: Cross multiply
    209,409,995.75x = 460,360,956.25 × 460,360,956.25
  4. Step 4: Simplify right side
    209,409,995.75x = 211,932,210,039,414,400
  5. Step 5: Solve for x
    x = 211,932,210,039,414,400/209,409,995.75
  6. Step 6: Final answer
    x = 1,012,044,383.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.