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Finding the Third Proportional to 96,561,004 and 206,928,537

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Solution

The third proportional to 96,561,004 and 206,928,537 is: 443,444,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561,004 : 206,928,537 = 206,928,537 : x
  2. Step 2: Convert to fraction form
    96,561,004/206,928,537 = 206,928,537/x
  3. Step 3: Cross multiply
    96,561,004x = 206,928,537 × 206,928,537
  4. Step 4: Simplify right side
    96,561,004x = 42,819,419,424,960,368
  5. Step 5: Solve for x
    x = 42,819,419,424,960,368/96,561,004
  6. Step 6: Final answer
    x = 443,444,223.35

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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.