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Finding the Third Proportional to 48,476,385 and 103,671,230

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Solution

The third proportional to 48,476,385 and 103,671,230 is: 221,710,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,385 : 103,671,230 = 103,671,230 : x
  2. Step 2: Convert to fraction form
    48,476,385/103,671,230 = 103,671,230/x
  3. Step 3: Cross multiply
    48,476,385x = 103,671,230 × 103,671,230
  4. Step 4: Simplify right side
    48,476,385x = 10,747,723,929,712,900
  5. Step 5: Solve for x
    x = 10,747,723,929,712,900/48,476,385
  6. Step 6: Final answer
    x = 221,710,507.70

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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.