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Finding the Third Proportional to 99,373,824 and 216,243,648

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Solution

The third proportional to 99,373,824 and 216,243,648 is: 470,559,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,373,824 : 216,243,648 = 216,243,648 : x
  2. Step 2: Convert to fraction form
    99,373,824/216,243,648 = 216,243,648/x
  3. Step 3: Cross multiply
    99,373,824x = 216,243,648 × 216,243,648
  4. Step 4: Simplify right side
    99,373,824x = 46,761,315,300,347,904
  5. Step 5: Solve for x
    x = 46,761,315,300,347,904/99,373,824
  6. Step 6: Final answer
    x = 470,559,684.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.