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Finding the Third Proportional to 48,495,096 and 103,714,416

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Solution

The third proportional to 48,495,096 and 103,714,416 is: 221,809,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,495,096 : 103,714,416 = 103,714,416 : x
  2. Step 2: Convert to fraction form
    48,495,096/103,714,416 = 103,714,416/x
  3. Step 3: Cross multiply
    48,495,096x = 103,714,416 × 103,714,416
  4. Step 4: Simplify right side
    48,495,096x = 10,756,680,086,221,056
  5. Step 5: Solve for x
    x = 10,756,680,086,221,056/48,495,096
  6. Step 6: Final answer
    x = 221,809,646.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.