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Finding the Third Proportional to 175,268,852 and 272,461,280

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Solution

The third proportional to 175,268,852 and 272,461,280 is: 423,550,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,268,852 : 272,461,280 = 272,461,280 : x
  2. Step 2: Convert to fraction form
    175,268,852/272,461,280 = 272,461,280/x
  3. Step 3: Cross multiply
    175,268,852x = 272,461,280 × 272,461,280
  4. Step 4: Simplify right side
    175,268,852x = 74,235,149,099,238,400
  5. Step 5: Solve for x
    x = 74,235,149,099,238,400/175,268,852
  6. Step 6: Final answer
    x = 423,550,153.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.