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Finding the Third Proportional to 102,881,967 and 221,917,602

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Solution

The third proportional to 102,881,967 and 221,917,602 is: 478,678,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881,967 : 221,917,602 = 221,917,602 : x
  2. Step 2: Convert to fraction form
    102,881,967/221,917,602 = 221,917,602/x
  3. Step 3: Cross multiply
    102,881,967x = 221,917,602 × 221,917,602
  4. Step 4: Simplify right side
    102,881,967x = 49,247,422,077,430,400
  5. Step 5: Solve for x
    x = 49,247,422,077,430,400/102,881,967
  6. Step 6: Final answer
    x = 478,678,854.16

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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.