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Finding the Third Proportional to 96,152,614 and 206,884,866

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Solution

The third proportional to 96,152,614 and 206,884,866 is: 445,139,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152,614 : 206,884,866 = 206,884,866 : x
  2. Step 2: Convert to fraction form
    96,152,614/206,884,866 = 206,884,866/x
  3. Step 3: Cross multiply
    96,152,614x = 206,884,866 × 206,884,866
  4. Step 4: Simplify right side
    96,152,614x = 42,801,347,779,837,952
  5. Step 5: Solve for x
    x = 42,801,347,779,837,952/96,152,614
  6. Step 6: Final answer
    x = 445,139,721.11

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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.