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Finding the Third Proportional to 89,165,578 and 180,838,290

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Solution

The third proportional to 89,165,578 and 180,838,290 is: 366,761,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165,578 : 180,838,290 = 180,838,290 : x
  2. Step 2: Convert to fraction form
    89,165,578/180,838,290 = 180,838,290/x
  3. Step 3: Cross multiply
    89,165,578x = 180,838,290 × 180,838,290
  4. Step 4: Simplify right side
    89,165,578x = 32,702,487,130,124,100
  5. Step 5: Solve for x
    x = 32,702,487,130,124,100/89,165,578
  6. Step 6: Final answer
    x = 366,761,342.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.