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Finding the Third Proportional to 147,950,325 and 235,624,207.50

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Solution

The third proportional to 147,950,325 and 235,624,207.50 is: 375,252,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,950,325 : 235,624,207.50 = 235,624,207.50 : x
  2. Step 2: Convert to fraction form
    147,950,325/235,624,207.50 = 235,624,207.50/x
  3. Step 3: Cross multiply
    147,950,325x = 235,624,207.50 × 235,624,207.50
  4. Step 4: Simplify right side
    147,950,325x = 55,518,767,160,003,056
  5. Step 5: Solve for x
    x = 55,518,767,160,003,056/147,950,325
  6. Step 6: Final answer
    x = 375,252,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.