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Finding the Third Proportional to 174,718,441.13 and 278,146,099.13

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Solution

The third proportional to 174,718,441.13 and 278,146,099.13 is: 442,799,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,718,441.13 : 278,146,099.13 = 278,146,099.13 : x
  2. Step 2: Convert to fraction form
    174,718,441.13/278,146,099.13 = 278,146,099.13/x
  3. Step 3: Cross multiply
    174,718,441.13x = 278,146,099.13 × 278,146,099.13
  4. Step 4: Simplify right side
    174,718,441.13x = 77,365,252,458,454,320
  5. Step 5: Solve for x
    x = 77,365,252,458,454,320/174,718,441.13
  6. Step 6: Final answer
    x = 442,799,580.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.