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Finding the Third Proportional to 48,893,113 and 103,614,554

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Solution

The third proportional to 48,893,113 and 103,614,554 is: 219,580,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,113 : 103,614,554 = 103,614,554 : x
  2. Step 2: Convert to fraction form
    48,893,113/103,614,554 = 103,614,554/x
  3. Step 3: Cross multiply
    48,893,113x = 103,614,554 × 103,614,554
  4. Step 4: Simplify right side
    48,893,113x = 10,735,975,800,618,916
  5. Step 5: Solve for x
    x = 10,735,975,800,618,916/48,893,113
  6. Step 6: Final answer
    x = 219,580,532.76

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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.