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Finding the Third Proportional to 48,893,029 and 103,614,385

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Solution

The third proportional to 48,893,029 and 103,614,385 is: 219,580,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,029 : 103,614,385 = 103,614,385 : x
  2. Step 2: Convert to fraction form
    48,893,029/103,614,385 = 103,614,385/x
  3. Step 3: Cross multiply
    48,893,029x = 103,614,385 × 103,614,385
  4. Step 4: Simplify right side
    48,893,029x = 10,735,940,778,928,224
  5. Step 5: Solve for x
    x = 10,735,940,778,928,224/48,893,029
  6. Step 6: Final answer
    x = 219,580,193.71

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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.