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Finding the Third Proportional to 175,268,816 and 272,461,224

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Solution

The third proportional to 175,268,816 and 272,461,224 is: 423,550,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,268,816 : 272,461,224 = 272,461,224 : x
  2. Step 2: Convert to fraction form
    175,268,816/272,461,224 = 272,461,224/x
  3. Step 3: Cross multiply
    175,268,816x = 272,461,224 × 272,461,224
  4. Step 4: Simplify right side
    175,268,816x = 74,235,118,583,578,176
  5. Step 5: Solve for x
    x = 74,235,118,583,578,176/175,268,816
  6. Step 6: Final answer
    x = 423,550,065.99

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