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Finding the Third Proportional to 96,152,612 and 206,884,862

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Solution

The third proportional to 96,152,612 and 206,884,862 is: 445,139,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152,612 : 206,884,862 = 206,884,862 : x
  2. Step 2: Convert to fraction form
    96,152,612/206,884,862 = 206,884,862/x
  3. Step 3: Cross multiply
    96,152,612x = 206,884,862 × 206,884,862
  4. Step 4: Simplify right side
    96,152,612x = 42,801,346,124,759,040
  5. Step 5: Solve for x
    x = 42,801,346,124,759,040/96,152,612
  6. Step 6: Final answer
    x = 445,139,713.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.