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Finding the Third Proportional to 74,278,594.69 and 162,906,081.19

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Solution

The third proportional to 74,278,594.69 and 162,906,081.19 is: 357,281,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,278,594.69 : 162,906,081.19 = 162,906,081.19 : x
  2. Step 2: Convert to fraction form
    74,278,594.69/162,906,081.19 = 162,906,081.19/x
  3. Step 3: Cross multiply
    74,278,594.69x = 162,906,081.19 × 162,906,081.19
  4. Step 4: Simplify right side
    74,278,594.69x = 26,538,391,287,868,340
  5. Step 5: Solve for x
    x = 26,538,391,287,868,340/74,278,594.69
  6. Step 6: Final answer
    x = 357,281,817.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.