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Finding the Third Proportional to 102,300,360 and 219,156,240

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Solution

The third proportional to 102,300,360 and 219,156,240 is: 469,494,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300,360 : 219,156,240 = 219,156,240 : x
  2. Step 2: Convert to fraction form
    102,300,360/219,156,240 = 219,156,240/x
  3. Step 3: Cross multiply
    102,300,360x = 219,156,240 × 219,156,240
  4. Step 4: Simplify right side
    102,300,360x = 48,029,457,530,937,600
  5. Step 5: Solve for x
    x = 48,029,457,530,937,600/102,300,360
  6. Step 6: Final answer
    x = 469,494,511.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.