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Finding the Third Proportional to 48,484,692 and 107,731,656

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Solution

The third proportional to 48,484,692 and 107,731,656 is: 239,376,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484,692 : 107,731,656 = 107,731,656 : x
  2. Step 2: Convert to fraction form
    48,484,692/107,731,656 = 107,731,656/x
  3. Step 3: Cross multiply
    48,484,692x = 107,731,656 × 107,731,656
  4. Step 4: Simplify right side
    48,484,692x = 11,606,109,704,502,336
  5. Step 5: Solve for x
    x = 11,606,109,704,502,336/48,484,692
  6. Step 6: Final answer
    x = 239,376,785.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.