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Finding the Third Proportional to 102,478,461.75 and 223,151,395.50

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Solution

The third proportional to 102,478,461.75 and 223,151,395.50 is: 485,922,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,478,461.75 : 223,151,395.50 = 223,151,395.50 : x
  2. Step 2: Convert to fraction form
    102,478,461.75/223,151,395.50 = 223,151,395.50/x
  3. Step 3: Cross multiply
    102,478,461.75x = 223,151,395.50 × 223,151,395.50
  4. Step 4: Simplify right side
    102,478,461.75x = 49,796,545,313,597,424
  5. Step 5: Solve for x
    x = 49,796,545,313,597,424/102,478,461.75
  6. Step 6: Final answer
    x = 485,922,060.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.