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Finding the Third Proportional to 140,874,984 and 194,657,985

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Solution

The third proportional to 140,874,984 and 194,657,985 is: 268,974,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,874,984 : 194,657,985 = 194,657,985 : x
  2. Step 2: Convert to fraction form
    140,874,984/194,657,985 = 194,657,985/x
  3. Step 3: Cross multiply
    140,874,984x = 194,657,985 × 194,657,985
  4. Step 4: Simplify right side
    140,874,984x = 37,891,731,124,260,224
  5. Step 5: Solve for x
    x = 37,891,731,124,260,224/140,874,984
  6. Step 6: Final answer
    x = 268,974,164.53

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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.