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Finding the Third Proportional to 49,896,192 and 107,492,352

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Solution

The third proportional to 49,896,192 and 107,492,352 is: 231,572,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896,192 : 107,492,352 = 107,492,352 : x
  2. Step 2: Convert to fraction form
    49,896,192/107,492,352 = 107,492,352/x
  3. Step 3: Cross multiply
    49,896,192x = 107,492,352 × 107,492,352
  4. Step 4: Simplify right side
    49,896,192x = 11,554,605,738,491,904
  5. Step 5: Solve for x
    x = 11,554,605,738,491,904/49,896,192
  6. Step 6: Final answer
    x = 231,572,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.