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Finding the Third Proportional to 201,072,555,180 and 299,865,155,058

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Solution

The third proportional to 201,072,555,180 and 299,865,155,058 is: 447,197,336,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072,555,180 : 299,865,155,058 = 299,865,155,058 : x
  2. Step 2: Convert to fraction form
    201,072,555,180/299,865,155,058 = 299,865,155,058/x
  3. Step 3: Cross multiply
    201,072,555,180x = 299,865,155,058 × 299,865,155,058
  4. Step 4: Simplify right side
    201,072,555,180x = 89,919,111,217,958,388,498,432
  5. Step 5: Solve for x
    x = 89,919,111,217,958,388,498,432/201,072,555,180
  6. Step 6: Final answer
    x = 447,197,336,988.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.