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Finding the Third Proportional to 175,268,854 and 272,461,283

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Solution

The third proportional to 175,268,854 and 272,461,283 is: 423,550,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,268,854 : 272,461,283 = 272,461,283 : x
  2. Step 2: Convert to fraction form
    175,268,854/272,461,283 = 272,461,283/x
  3. Step 3: Cross multiply
    175,268,854x = 272,461,283 × 272,461,283
  4. Step 4: Simplify right side
    175,268,854x = 74,235,150,734,006,096
  5. Step 5: Solve for x
    x = 74,235,150,734,006,096/175,268,854
  6. Step 6: Final answer
    x = 423,550,157.60

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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.