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Finding the Third Proportional to 76,015,990 and 165,970,784

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Solution

The third proportional to 76,015,990 and 165,970,784 is: 362,375,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,990 : 165,970,784 = 165,970,784 : x
  2. Step 2: Convert to fraction form
    76,015,990/165,970,784 = 165,970,784/x
  3. Step 3: Cross multiply
    76,015,990x = 165,970,784 × 165,970,784
  4. Step 4: Simplify right side
    76,015,990x = 27,546,301,141,574,656
  5. Step 5: Solve for x
    x = 27,546,301,141,574,656/76,015,990
  6. Step 6: Final answer
    x = 362,375,089.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.