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Finding the Third Proportional to 161,324,174 and 247,966,875

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Solution

The third proportional to 161,324,174 and 247,966,875 is: 381,142,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,324,174 : 247,966,875 = 247,966,875 : x
  2. Step 2: Convert to fraction form
    161,324,174/247,966,875 = 247,966,875/x
  3. Step 3: Cross multiply
    161,324,174x = 247,966,875 × 247,966,875
  4. Step 4: Simplify right side
    161,324,174x = 61,487,571,097,265,624
  5. Step 5: Solve for x
    x = 61,487,571,097,265,624/161,324,174
  6. Step 6: Final answer
    x = 381,142,946.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.