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Finding the Third Proportional to 159,460,524 and 242,416,368

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Solution

The third proportional to 159,460,524 and 242,416,368 is: 368,528,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460,524 : 242,416,368 = 242,416,368 : x
  2. Step 2: Convert to fraction form
    159,460,524/242,416,368 = 242,416,368/x
  3. Step 3: Cross multiply
    159,460,524x = 242,416,368 × 242,416,368
  4. Step 4: Simplify right side
    159,460,524x = 58,765,695,474,311,424
  5. Step 5: Solve for x
    x = 58,765,695,474,311,424/159,460,524
  6. Step 6: Final answer
    x = 368,528,172.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.