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Finding the Third Proportional to 96,561,004 and 206,928,566

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Solution

The third proportional to 96,561,004 and 206,928,566 is: 443,444,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561,004 : 206,928,566 = 206,928,566 : x
  2. Step 2: Convert to fraction form
    96,561,004/206,928,566 = 206,928,566/x
  3. Step 3: Cross multiply
    96,561,004x = 206,928,566 × 206,928,566
  4. Step 4: Simplify right side
    96,561,004x = 42,819,431,426,816,352
  5. Step 5: Solve for x
    x = 42,819,431,426,816,352/96,561,004
  6. Step 6: Final answer
    x = 443,444,347.65

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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.