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Finding the Third Proportional to 45,093,546 and 98,805,429

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Solution

The third proportional to 45,093,546 and 98,805,429 is: 216,494,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,093,546 : 98,805,429 = 98,805,429 : x
  2. Step 2: Convert to fraction form
    45,093,546/98,805,429 = 98,805,429/x
  3. Step 3: Cross multiply
    45,093,546x = 98,805,429 × 98,805,429
  4. Step 4: Simplify right side
    45,093,546x = 9,762,512,799,874,040
  5. Step 5: Solve for x
    x = 9,762,512,799,874,040/45,093,546
  6. Step 6: Final answer
    x = 216,494,679.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.