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Finding the Third Proportional to 48,686,868 and 102,806,262

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Solution

The third proportional to 48,686,868 and 102,806,262 is: 217,083,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686,868 : 102,806,262 = 102,806,262 : x
  2. Step 2: Convert to fraction form
    48,686,868/102,806,262 = 102,806,262/x
  3. Step 3: Cross multiply
    48,686,868x = 102,806,262 × 102,806,262
  4. Step 4: Simplify right side
    48,686,868x = 10,569,127,506,412,644
  5. Step 5: Solve for x
    x = 10,569,127,506,412,644/48,686,868
  6. Step 6: Final answer
    x = 217,083,742.30

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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.