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Finding the Third Proportional to 145,842,154 and 225,750,328

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Solution

The third proportional to 145,842,154 and 225,750,328 is: 349,440,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842,154 : 225,750,328 = 225,750,328 : x
  2. Step 2: Convert to fraction form
    145,842,154/225,750,328 = 225,750,328/x
  3. Step 3: Cross multiply
    145,842,154x = 225,750,328 × 225,750,328
  4. Step 4: Simplify right side
    145,842,154x = 50,963,210,592,107,584
  5. Step 5: Solve for x
    x = 50,963,210,592,107,584/145,842,154
  6. Step 6: Final answer
    x = 349,440,879.71

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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.