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Finding the Third Proportional to 75,277,746.75 and 115,080,165

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Solution

The third proportional to 75,277,746.75 and 115,080,165 is: 175,927,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277,746.75 : 115,080,165 = 115,080,165 : x
  2. Step 2: Convert to fraction form
    75,277,746.75/115,080,165 = 115,080,165/x
  3. Step 3: Cross multiply
    75,277,746.75x = 115,080,165 × 115,080,165
  4. Step 4: Simplify right side
    75,277,746.75x = 13,243,444,376,427,224
  5. Step 5: Solve for x
    x = 13,243,444,376,427,224/75,277,746.75
  6. Step 6: Final answer
    x = 175,927,746.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.