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Finding the Third Proportional to 228,596,314 and 343,409,509

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Solution

The third proportional to 228,596,314 and 343,409,509 is: 515,887,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,596,314 : 343,409,509 = 343,409,509 : x
  2. Step 2: Convert to fraction form
    228,596,314/343,409,509 = 343,409,509/x
  3. Step 3: Cross multiply
    228,596,314x = 343,409,509 × 343,409,509
  4. Step 4: Simplify right side
    228,596,314x = 117,930,090,871,621,088
  5. Step 5: Solve for x
    x = 117,930,090,871,621,088/228,596,314
  6. Step 6: Final answer
    x = 515,887,980.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.