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Finding the Third Proportional to 44,746,163,388 and 96,940,066,392

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Solution

The third proportional to 44,746,163,388 and 96,940,066,392 is: 210,015,245,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,746,163,388 : 96,940,066,392 = 96,940,066,392 : x
  2. Step 2: Convert to fraction form
    44,746,163,388/96,940,066,392 = 96,940,066,392/x
  3. Step 3: Cross multiply
    44,746,163,388x = 96,940,066,392 × 96,940,066,392
  4. Step 4: Simplify right side
    44,746,163,388x = 9,397,376,472,085,368,406,016
  5. Step 5: Solve for x
    x = 9,397,376,472,085,368,406,016/44,746,163,388
  6. Step 6: Final answer
    x = 210,015,245,119.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.