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Finding the Third Proportional to 102,463,191 and 224,861,184

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Solution

The third proportional to 102,463,191 and 224,861,184 is: 493,470,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463,191 : 224,861,184 = 224,861,184 : x
  2. Step 2: Convert to fraction form
    102,463,191/224,861,184 = 224,861,184/x
  3. Step 3: Cross multiply
    102,463,191x = 224,861,184 × 224,861,184
  4. Step 4: Simplify right side
    102,463,191x = 50,562,552,069,881,856
  5. Step 5: Solve for x
    x = 50,562,552,069,881,856/102,463,191
  6. Step 6: Final answer
    x = 493,470,402.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.