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Finding the Third Proportional to 127,713,519 and 194,758,444.50

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Solution

The third proportional to 127,713,519 and 194,758,444.50 is: 296,999,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,713,519 : 194,758,444.50 = 194,758,444.50 : x
  2. Step 2: Convert to fraction form
    127,713,519/194,758,444.50 = 194,758,444.50/x
  3. Step 3: Cross multiply
    127,713,519x = 194,758,444.50 × 194,758,444.50
  4. Step 4: Simplify right side
    127,713,519x = 37,930,851,704,059,584
  5. Step 5: Solve for x
    x = 37,930,851,704,059,584/127,713,519
  6. Step 6: Final answer
    x = 296,999,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.