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Finding the Third Proportional to 162,389,439 and 234,624,748.50

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Solution

The third proportional to 162,389,439 and 234,624,748.50 is: 338,992,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389,439 : 234,624,748.50 = 234,624,748.50 : x
  2. Step 2: Convert to fraction form
    162,389,439/234,624,748.50 = 234,624,748.50/x
  3. Step 3: Cross multiply
    162,389,439x = 234,624,748.50 × 234,624,748.50
  4. Step 4: Simplify right side
    162,389,439x = 55,048,772,608,688,256
  5. Step 5: Solve for x
    x = 55,048,772,608,688,256/162,389,439
  6. Step 6: Final answer
    x = 338,992,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.