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Finding the Third Proportional to 162,389,457 and 234,624,775.50

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Solution

The third proportional to 162,389,457 and 234,624,775.50 is: 338,992,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389,457 : 234,624,775.50 = 234,624,775.50 : x
  2. Step 2: Convert to fraction form
    162,389,457/234,624,775.50 = 234,624,775.50/x
  3. Step 3: Cross multiply
    162,389,457x = 234,624,775.50 × 234,624,775.50
  4. Step 4: Simplify right side
    162,389,457x = 55,048,785,278,425,400
  5. Step 5: Solve for x
    x = 55,048,785,278,425,400/162,389,457
  6. Step 6: Final answer
    x = 338,992,360.07

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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.