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Finding the Third Proportional to 96,973,678 and 215,470,713

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Solution

The third proportional to 96,973,678 and 215,470,713 is: 478,765,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,678 : 215,470,713 = 215,470,713 : x
  2. Step 2: Convert to fraction form
    96,973,678/215,470,713 = 215,470,713/x
  3. Step 3: Cross multiply
    96,973,678x = 215,470,713 × 215,470,713
  4. Step 4: Simplify right side
    96,973,678x = 46,427,628,160,728,368
  5. Step 5: Solve for x
    x = 46,427,628,160,728,368/96,973,678
  6. Step 6: Final answer
    x = 478,765,260.00

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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.