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Finding the Third Proportional to 127,713,516 and 194,758,440

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Solution

The third proportional to 127,713,516 and 194,758,440 is: 296,999,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,713,516 : 194,758,440 = 194,758,440 : x
  2. Step 2: Convert to fraction form
    127,713,516/194,758,440 = 194,758,440/x
  3. Step 3: Cross multiply
    127,713,516x = 194,758,440 × 194,758,440
  4. Step 4: Simplify right side
    127,713,516x = 37,930,849,951,233,600
  5. Step 5: Solve for x
    x = 37,930,849,951,233,600/127,713,516
  6. Step 6: Final answer
    x = 296,999,496.52

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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.