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Finding the Third Proportional to 65,648,313 and 151,964,039.25

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Solution

The third proportional to 65,648,313 and 151,964,039.25 is: 351,769,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648,313 : 151,964,039.25 = 151,964,039.25 : x
  2. Step 2: Convert to fraction form
    65,648,313/151,964,039.25 = 151,964,039.25/x
  3. Step 3: Cross multiply
    65,648,313x = 151,964,039.25 × 151,964,039.25
  4. Step 4: Simplify right side
    65,648,313x = 23,093,069,225,175,540
  5. Step 5: Solve for x
    x = 23,093,069,225,175,540/65,648,313
  6. Step 6: Final answer
    x = 351,769,423.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.