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Finding the Third Proportional to 96,968,448 and 215,461,296

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Solution

The third proportional to 96,968,448 and 215,461,296 is: 478,749,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968,448 : 215,461,296 = 215,461,296 : x
  2. Step 2: Convert to fraction form
    96,968,448/215,461,296 = 215,461,296/x
  3. Step 3: Cross multiply
    96,968,448x = 215,461,296 × 215,461,296
  4. Step 4: Simplify right side
    96,968,448x = 46,423,570,073,999,616
  5. Step 5: Solve for x
    x = 46,423,570,073,999,616/96,968,448
  6. Step 6: Final answer
    x = 478,749,232.68

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.