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Finding the Third Proportional to 102,300,208 and 219,155,935

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Solution

The third proportional to 102,300,208 and 219,155,935 is: 469,493,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300,208 : 219,155,935 = 219,155,935 : x
  2. Step 2: Convert to fraction form
    102,300,208/219,155,935 = 219,155,935/x
  3. Step 3: Cross multiply
    102,300,208x = 219,155,935 × 219,155,935
  4. Step 4: Simplify right side
    102,300,208x = 48,029,323,845,724,224
  5. Step 5: Solve for x
    x = 48,029,323,845,724,224/102,300,208
  6. Step 6: Final answer
    x = 469,493,902.16

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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.