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Finding the Third Proportional to 136,982,780 and 200,559,736

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Solution

The third proportional to 136,982,780 and 200,559,736 is: 293,644,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,982,780 : 200,559,736 = 200,559,736 : x
  2. Step 2: Convert to fraction form
    136,982,780/200,559,736 = 200,559,736/x
  3. Step 3: Cross multiply
    136,982,780x = 200,559,736 × 200,559,736
  4. Step 4: Simplify right side
    136,982,780x = 40,224,207,704,389,696
  5. Step 5: Solve for x
    x = 40,224,207,704,389,696/136,982,780
  6. Step 6: Final answer
    x = 293,644,264.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.