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Finding the Third Proportional to 216,466,863.75 and 472,612,171.50

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Solution

The third proportional to 216,466,863.75 and 472,612,171.50 is: 1,031,854,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466,863.75 : 472,612,171.50 = 472,612,171.50 : x
  2. Step 2: Convert to fraction form
    216,466,863.75/472,612,171.50 = 472,612,171.50/x
  3. Step 3: Cross multiply
    216,466,863.75x = 472,612,171.50 × 472,612,171.50
  4. Step 4: Simplify right side
    216,466,863.75x = 223,362,264,649,945,408
  5. Step 5: Solve for x
    x = 223,362,264,649,945,408/216,466,863.75
  6. Step 6: Final answer
    x = 1,031,854,302.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.