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Finding the Third Proportional to 156,186,006 and 228,529,680.50

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Solution

The third proportional to 156,186,006 and 228,529,680.50 is: 334,382,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,186,006 : 228,529,680.50 = 228,529,680.50 : x
  2. Step 2: Convert to fraction form
    156,186,006/228,529,680.50 = 228,529,680.50/x
  3. Step 3: Cross multiply
    156,186,006x = 228,529,680.50 × 228,529,680.50
  4. Step 4: Simplify right side
    156,186,006x = 52,225,814,869,432,080
  5. Step 5: Solve for x
    x = 52,225,814,869,432,080/156,186,006
  6. Step 6: Final answer
    x = 334,382,165.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.