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Finding the Third Proportional to 106,333,890 and 159,323,445

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Solution

The third proportional to 106,333,890 and 159,323,445 is: 238,719,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333,890 : 159,323,445 = 159,323,445 : x
  2. Step 2: Convert to fraction form
    106,333,890/159,323,445 = 159,323,445/x
  3. Step 3: Cross multiply
    106,333,890x = 159,323,445 × 159,323,445
  4. Step 4: Simplify right side
    106,333,890x = 25,383,960,126,668,024
  5. Step 5: Solve for x
    x = 25,383,960,126,668,024/106,333,890
  6. Step 6: Final answer
    x = 238,719,378.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.