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Finding the Third Proportional to 68,065,116 and 149,355,258

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Solution

The third proportional to 68,065,116 and 149,355,258 is: 327,730,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065,116 : 149,355,258 = 149,355,258 : x
  2. Step 2: Convert to fraction form
    68,065,116/149,355,258 = 149,355,258/x
  3. Step 3: Cross multiply
    68,065,116x = 149,355,258 × 149,355,258
  4. Step 4: Simplify right side
    68,065,116x = 22,306,993,092,246,564
  5. Step 5: Solve for x
    x = 22,306,993,092,246,564/68,065,116
  6. Step 6: Final answer
    x = 327,730,185.49

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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.