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Finding the Third Proportional to 96,953,256 and 207,343,440

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Solution

The third proportional to 96,953,256 and 207,343,440 is: 443,422,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953,256 : 207,343,440 = 207,343,440 : x
  2. Step 2: Convert to fraction form
    96,953,256/207,343,440 = 207,343,440/x
  3. Step 3: Cross multiply
    96,953,256x = 207,343,440 × 207,343,440
  4. Step 4: Simplify right side
    96,953,256x = 42,991,302,111,033,600
  5. Step 5: Solve for x
    x = 42,991,302,111,033,600/96,953,256
  6. Step 6: Final answer
    x = 443,422,984.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.