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Finding the Third Proportional to 48,784,457 and 96,335,122

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Solution

The third proportional to 48,784,457 and 96,335,122 is: 190,233,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,457 : 96,335,122 = 96,335,122 : x
  2. Step 2: Convert to fraction form
    48,784,457/96,335,122 = 96,335,122/x
  3. Step 3: Cross multiply
    48,784,457x = 96,335,122 × 96,335,122
  4. Step 4: Simplify right side
    48,784,457x = 9,280,455,730,754,884
  5. Step 5: Solve for x
    x = 9,280,455,730,754,884/48,784,457
  6. Step 6: Final answer
    x = 190,233,863.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.