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Finding the Third Proportional to 48,893,017 and 103,614,361

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Solution

The third proportional to 48,893,017 and 103,614,361 is: 219,580,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,017 : 103,614,361 = 103,614,361 : x
  2. Step 2: Convert to fraction form
    48,893,017/103,614,361 = 103,614,361/x
  3. Step 3: Cross multiply
    48,893,017x = 103,614,361 × 103,614,361
  4. Step 4: Simplify right side
    48,893,017x = 10,735,935,805,438,320
  5. Step 5: Solve for x
    x = 10,735,935,805,438,320/48,893,017
  6. Step 6: Final answer
    x = 219,580,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.