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Finding the Third Proportional to 45,601,911,417 and 98,066,753,689.50

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Solution

The third proportional to 45,601,911,417 and 98,066,753,689.50 is: 210,892,216,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,601,911,417 : 98,066,753,689.50 = 98,066,753,689.50 : x
  2. Step 2: Convert to fraction form
    45,601,911,417/98,066,753,689.50 = 98,066,753,689.50/x
  3. Step 3: Cross multiply
    45,601,911,417x = 98,066,753,689.50 × 98,066,753,689.50
  4. Step 4: Simplify right side
    45,601,911,417x = 9,617,088,179,197,062,414,336
  5. Step 5: Solve for x
    x = 9,617,088,179,197,062,414,336/45,601,911,417
  6. Step 6: Final answer
    x = 210,892,216,583.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.