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Finding the Third Proportional to 89,739,209 and 195,201,595

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Solution

The third proportional to 89,739,209 and 195,201,595 is: 424,604,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739,209 : 195,201,595 = 195,201,595 : x
  2. Step 2: Convert to fraction form
    89,739,209/195,201,595 = 195,201,595/x
  3. Step 3: Cross multiply
    89,739,209x = 195,201,595 × 195,201,595
  4. Step 4: Simplify right side
    89,739,209x = 38,103,662,690,544,024
  5. Step 5: Solve for x
    x = 38,103,662,690,544,024/89,739,209
  6. Step 6: Final answer
    x = 424,604,396.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.