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Finding the Third Proportional to 152,300,082 and 235,436,499

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Solution

The third proportional to 152,300,082 and 235,436,499 is: 363,954,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300,082 : 235,436,499 = 235,436,499 : x
  2. Step 2: Convert to fraction form
    152,300,082/235,436,499 = 235,436,499/x
  3. Step 3: Cross multiply
    152,300,082x = 235,436,499 × 235,436,499
  4. Step 4: Simplify right side
    152,300,082x = 55,430,345,061,377,000
  5. Step 5: Solve for x
    x = 55,430,345,061,377,000/152,300,082
  6. Step 6: Final answer
    x = 363,954,794.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.