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Finding the Third Proportional to 48,893,023 and 103,614,374

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Solution

The third proportional to 48,893,023 and 103,614,374 is: 219,580,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,023 : 103,614,374 = 103,614,374 : x
  2. Step 2: Convert to fraction form
    48,893,023/103,614,374 = 103,614,374/x
  3. Step 3: Cross multiply
    48,893,023x = 103,614,374 × 103,614,374
  4. Step 4: Simplify right side
    48,893,023x = 10,735,938,499,411,876
  5. Step 5: Solve for x
    x = 10,735,938,499,411,876/48,893,023
  6. Step 6: Final answer
    x = 219,580,174.03

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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.