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Finding the Third Proportional to 48,686,850 and 102,806,226

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Solution

The third proportional to 48,686,850 and 102,806,226 is: 217,083,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686,850 : 102,806,226 = 102,806,226 : x
  2. Step 2: Convert to fraction form
    48,686,850/102,806,226 = 102,806,226/x
  3. Step 3: Cross multiply
    48,686,850x = 102,806,226 × 102,806,226
  4. Step 4: Simplify right side
    48,686,850x = 10,569,120,104,363,076
  5. Step 5: Solve for x
    x = 10,569,120,104,363,076/48,686,850
  6. Step 6: Final answer
    x = 217,083,670.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.