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Finding the Third Proportional to 99,038,163 and 217,208,210

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Solution

The third proportional to 99,038,163 and 217,208,210 is: 476,376,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038,163 : 217,208,210 = 217,208,210 : x
  2. Step 2: Convert to fraction form
    99,038,163/217,208,210 = 217,208,210/x
  3. Step 3: Cross multiply
    99,038,163x = 217,208,210 × 217,208,210
  4. Step 4: Simplify right side
    99,038,163x = 47,179,406,491,404,096
  5. Step 5: Solve for x
    x = 47,179,406,491,404,096/99,038,163
  6. Step 6: Final answer
    x = 476,376,025.79

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Why These Related Problems?

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