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Finding the Third Proportional to 101,083,752 and 218,307,240

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Solution

The third proportional to 101,083,752 and 218,307,240 is: 471,470,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,083,752 : 218,307,240 = 218,307,240 : x
  2. Step 2: Convert to fraction form
    101,083,752/218,307,240 = 218,307,240/x
  3. Step 3: Cross multiply
    101,083,752x = 218,307,240 × 218,307,240
  4. Step 4: Simplify right side
    101,083,752x = 47,658,051,036,417,600
  5. Step 5: Solve for x
    x = 47,658,051,036,417,600/101,083,752
  6. Step 6: Final answer
    x = 471,470,934.68

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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.