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Finding the Third Proportional to 156,186,042 and 228,529,729

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Solution

The third proportional to 156,186,042 and 228,529,729 is: 334,382,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,186,042 : 228,529,729 = 228,529,729 : x
  2. Step 2: Convert to fraction form
    156,186,042/228,529,729 = 228,529,729/x
  3. Step 3: Cross multiply
    156,186,042x = 228,529,729 × 228,529,729
  4. Step 4: Simplify right side
    156,186,042x = 52,225,837,036,813,440
  5. Step 5: Solve for x
    x = 52,225,837,036,813,440/156,186,042
  6. Step 6: Final answer
    x = 334,382,230.12

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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.