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Finding the Third Proportional to 140,874,986 and 194,657,988

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Solution

The third proportional to 140,874,986 and 194,657,988 is: 268,974,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,874,986 : 194,657,988 = 194,657,988 : x
  2. Step 2: Convert to fraction form
    140,874,986/194,657,988 = 194,657,988/x
  3. Step 3: Cross multiply
    140,874,986x = 194,657,988 × 194,657,988
  4. Step 4: Simplify right side
    140,874,986x = 37,891,732,292,208,144
  5. Step 5: Solve for x
    x = 37,891,732,292,208,144/140,874,986
  6. Step 6: Final answer
    x = 268,974,169.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.