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Finding the Third Proportional to 201,211,948.13 and 409,823,408.25

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Solution

The third proportional to 201,211,948.13 and 409,823,408.25 is: 834,717,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,211,948.13 : 409,823,408.25 = 409,823,408.25 : x
  2. Step 2: Convert to fraction form
    201,211,948.13/409,823,408.25 = 409,823,408.25/x
  3. Step 3: Cross multiply
    201,211,948.13x = 409,823,408.25 × 409,823,408.25
  4. Step 4: Simplify right side
    201,211,948.13x = 167,955,225,949,646,176
  5. Step 5: Solve for x
    x = 167,955,225,949,646,176/201,211,948.13
  6. Step 6: Final answer
    x = 834,717,955.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.