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Finding the Third Proportional to 162,285,153.50 and 382,713,448

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Solution

The third proportional to 162,285,153.50 and 382,713,448 is: 902,544,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,285,153.50 : 382,713,448 = 382,713,448 : x
  2. Step 2: Convert to fraction form
    162,285,153.50/382,713,448 = 382,713,448/x
  3. Step 3: Cross multiply
    162,285,153.50x = 382,713,448 × 382,713,448
  4. Step 4: Simplify right side
    162,285,153.50x = 146,469,583,280,048,704
  5. Step 5: Solve for x
    x = 146,469,583,280,048,704/162,285,153.50
  6. Step 6: Final answer
    x = 902,544,565.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.