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Finding the Third Proportional to 101,083,710 and 218,307,156

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Solution

The third proportional to 101,083,710 and 218,307,156 is: 471,470,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,083,710 : 218,307,156 = 218,307,156 : x
  2. Step 2: Convert to fraction form
    101,083,710/218,307,156 = 218,307,156/x
  3. Step 3: Cross multiply
    101,083,710x = 218,307,156 × 218,307,156
  4. Step 4: Simplify right side
    101,083,710x = 47,658,014,360,808,336
  5. Step 5: Solve for x
    x = 47,658,014,360,808,336/101,083,710
  6. Step 6: Final answer
    x = 471,470,767.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.