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Finding the Third Proportional to 165,339,074 and 272,248,224

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Solution

The third proportional to 165,339,074 and 272,248,224 is: 448,285,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,339,074 : 272,248,224 = 272,248,224 : x
  2. Step 2: Convert to fraction form
    165,339,074/272,248,224 = 272,248,224/x
  3. Step 3: Cross multiply
    165,339,074x = 272,248,224 × 272,248,224
  4. Step 4: Simplify right side
    165,339,074x = 74,119,095,471,154,176
  5. Step 5: Solve for x
    x = 74,119,095,471,154,176/165,339,074
  6. Step 6: Final answer
    x = 448,285,415.41

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.