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Finding the Third Proportional to 114,223,380 and 171,588,276

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Solution

The third proportional to 114,223,380 and 171,588,276 is: 257,762,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223,380 : 171,588,276 = 171,588,276 : x
  2. Step 2: Convert to fraction form
    114,223,380/171,588,276 = 171,588,276/x
  3. Step 3: Cross multiply
    114,223,380x = 171,588,276 × 171,588,276
  4. Step 4: Simplify right side
    114,223,380x = 29,442,536,460,652,176
  5. Step 5: Solve for x
    x = 29,442,536,460,652,176/114,223,380
  6. Step 6: Final answer
    x = 257,762,784.30

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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.