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Finding the Third Proportional to 96,024,348 and 210,262,680

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Solution

The third proportional to 96,024,348 and 210,262,680 is: 460,408,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,024,348 : 210,262,680 = 210,262,680 : x
  2. Step 2: Convert to fraction form
    96,024,348/210,262,680 = 210,262,680/x
  3. Step 3: Cross multiply
    96,024,348x = 210,262,680 × 210,262,680
  4. Step 4: Simplify right side
    96,024,348x = 44,210,394,600,782,400
  5. Step 5: Solve for x
    x = 44,210,394,600,782,400/96,024,348
  6. Step 6: Final answer
    x = 460,408,172.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.