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Finding the Third Proportional to 49,148,472 and 106,475,229

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Solution

The third proportional to 49,148,472 and 106,475,229 is: 230,667,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,472 : 106,475,229 = 106,475,229 : x
  2. Step 2: Convert to fraction form
    49,148,472/106,475,229 = 106,475,229/x
  3. Step 3: Cross multiply
    49,148,472x = 106,475,229 × 106,475,229
  4. Step 4: Simplify right side
    49,148,472x = 11,336,974,390,602,440
  5. Step 5: Solve for x
    x = 11,336,974,390,602,440/49,148,472
  6. Step 6: Final answer
    x = 230,667,891.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.