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Finding the Third Proportional to 193,937,688 and 418,639,824

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Solution

The third proportional to 193,937,688 and 418,639,824 is: 903,688,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,937,688 : 418,639,824 = 418,639,824 : x
  2. Step 2: Convert to fraction form
    193,937,688/418,639,824 = 418,639,824/x
  3. Step 3: Cross multiply
    193,937,688x = 418,639,824 × 418,639,824
  4. Step 4: Simplify right side
    193,937,688x = 175,259,302,238,750,976
  5. Step 5: Solve for x
    x = 175,259,302,238,750,976/193,937,688
  6. Step 6: Final answer
    x = 903,688,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.