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Finding the Third Proportional to 90,776,471,900 and 198,653,241,261

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Solution

The third proportional to 90,776,471,900 and 198,653,241,261 is: 434,728,398,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776,471,900 : 198,653,241,261 = 198,653,241,261 : x
  2. Step 2: Convert to fraction form
    90,776,471,900/198,653,241,261 = 198,653,241,261/x
  3. Step 3: Cross multiply
    90,776,471,900x = 198,653,241,261 × 198,653,241,261
  4. Step 4: Simplify right side
    90,776,471,900x = 39,463,110,263,501,074,989,056
  5. Step 5: Solve for x
    x = 39,463,110,263,501,074,989,056/90,776,471,900
  6. Step 6: Final answer
    x = 434,728,398,642.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.