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Finding the Third Proportional to 158,856,672 and 342,809,160

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Solution

The third proportional to 158,856,672 and 342,809,160 is: 739,774,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,856,672 : 342,809,160 = 342,809,160 : x
  2. Step 2: Convert to fraction form
    158,856,672/342,809,160 = 342,809,160/x
  3. Step 3: Cross multiply
    158,856,672x = 342,809,160 × 342,809,160
  4. Step 4: Simplify right side
    158,856,672x = 117,518,120,179,905,600
  5. Step 5: Solve for x
    x = 117,518,120,179,905,600/158,856,672
  6. Step 6: Final answer
    x = 739,774,531.97

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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.