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Finding the Third Proportional to 96,024,384 and 210,262,752

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Solution

The third proportional to 96,024,384 and 210,262,752 is: 460,408,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,024,384 : 210,262,752 = 210,262,752 : x
  2. Step 2: Convert to fraction form
    96,024,384/210,262,752 = 210,262,752/x
  3. Step 3: Cross multiply
    96,024,384x = 210,262,752 × 210,262,752
  4. Step 4: Simplify right side
    96,024,384x = 44,210,424,878,613,504
  5. Step 5: Solve for x
    x = 44,210,424,878,613,504/96,024,384
  6. Step 6: Final answer
    x = 460,408,315.44

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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.