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Finding the Third Proportional to 48,893,016 and 103,614,360

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Solution

The third proportional to 48,893,016 and 103,614,360 is: 219,580,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,016 : 103,614,360 = 103,614,360 : x
  2. Step 2: Convert to fraction form
    48,893,016/103,614,360 = 103,614,360/x
  3. Step 3: Cross multiply
    48,893,016x = 103,614,360 × 103,614,360
  4. Step 4: Simplify right side
    48,893,016x = 10,735,935,598,209,600
  5. Step 5: Solve for x
    x = 10,735,935,598,209,600/48,893,016
  6. Step 6: Final answer
    x = 219,580,146.13

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