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Finding the Third Proportional to 145,842,150 and 225,750,321

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Solution

The third proportional to 145,842,150 and 225,750,321 is: 349,440,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842,150 : 225,750,321 = 225,750,321 : x
  2. Step 2: Convert to fraction form
    145,842,150/225,750,321 = 225,750,321/x
  3. Step 3: Cross multiply
    145,842,150x = 225,750,321 × 225,750,321
  4. Step 4: Simplify right side
    145,842,150x = 50,963,207,431,603,040
  5. Step 5: Solve for x
    x = 50,963,207,431,603,040/145,842,150
  6. Step 6: Final answer
    x = 349,440,867.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.