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Finding the Third Proportional to 102,881,958 and 221,917,584

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Solution

The third proportional to 102,881,958 and 221,917,584 is: 478,678,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881,958 : 221,917,584 = 221,917,584 : x
  2. Step 2: Convert to fraction form
    102,881,958/221,917,584 = 221,917,584/x
  3. Step 3: Cross multiply
    102,881,958x = 221,917,584 × 221,917,584
  4. Step 4: Simplify right side
    102,881,958x = 49,247,414,088,397,056
  5. Step 5: Solve for x
    x = 49,247,414,088,397,056/102,881,958
  6. Step 6: Final answer
    x = 478,678,818.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.