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Finding the Third Proportional to 96,973,678.13 and 215,470,713.38

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Solution

The third proportional to 96,973,678.13 and 215,470,713.38 is: 478,765,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,678.13 : 215,470,713.38 = 215,470,713.38 : x
  2. Step 2: Convert to fraction form
    96,973,678.13/215,470,713.38 = 215,470,713.38/x
  3. Step 3: Cross multiply
    96,973,678.13x = 215,470,713.38 × 215,470,713.38
  4. Step 4: Simplify right side
    96,973,678.13x = 46,427,628,322,331,400
  5. Step 5: Solve for x
    x = 46,427,628,322,331,400/96,973,678.13
  6. Step 6: Final answer
    x = 478,765,261.05

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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.