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Finding the Third Proportional to 43,145,914 and 92,695,362

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Solution

The third proportional to 43,145,914 and 92,695,362 is: 199,148,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,145,914 : 92,695,362 = 92,695,362 : x
  2. Step 2: Convert to fraction form
    43,145,914/92,695,362 = 92,695,362/x
  3. Step 3: Cross multiply
    43,145,914x = 92,695,362 × 92,695,362
  4. Step 4: Simplify right side
    43,145,914x = 8,592,430,136,311,044
  5. Step 5: Solve for x
    x = 8,592,430,136,311,044/43,145,914
  6. Step 6: Final answer
    x = 199,148,177.42

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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.