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Finding the Third Proportional to 96,042,336 and 210,299,520

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Solution

The third proportional to 96,042,336 and 210,299,520 is: 460,483,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,042,336 : 210,299,520 = 210,299,520 : x
  2. Step 2: Convert to fraction form
    96,042,336/210,299,520 = 210,299,520/x
  3. Step 3: Cross multiply
    96,042,336x = 210,299,520 × 210,299,520
  4. Step 4: Simplify right side
    96,042,336x = 44,225,888,112,230,400
  5. Step 5: Solve for x
    x = 44,225,888,112,230,400/96,042,336
  6. Step 6: Final answer
    x = 460,483,261.38

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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.