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Finding the Third Proportional to 76,167,340 and 116,035,674

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Solution

The third proportional to 76,167,340 and 116,035,674 is: 176,772,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167,340 : 116,035,674 = 116,035,674 : x
  2. Step 2: Convert to fraction form
    76,167,340/116,035,674 = 116,035,674/x
  3. Step 3: Cross multiply
    76,167,340x = 116,035,674 × 116,035,674
  4. Step 4: Simplify right side
    76,167,340x = 13,464,277,640,634,276
  5. Step 5: Solve for x
    x = 13,464,277,640,634,276/76,167,340
  6. Step 6: Final answer
    x = 176,772,323.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.