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Finding the Third Proportional to 48,476,383 and 103,671,226

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Solution

The third proportional to 48,476,383 and 103,671,226 is: 221,710,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,383 : 103,671,226 = 103,671,226 : x
  2. Step 2: Convert to fraction form
    48,476,383/103,671,226 = 103,671,226/x
  3. Step 3: Cross multiply
    48,476,383x = 103,671,226 × 103,671,226
  4. Step 4: Simplify right side
    48,476,383x = 10,747,723,100,343,076
  5. Step 5: Solve for x
    x = 10,747,723,100,343,076/48,476,383
  6. Step 6: Final answer
    x = 221,710,499.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.