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Finding the Third Proportional to 77,748,084 and 167,348,610

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Solution

The third proportional to 77,748,084 and 167,348,610 is: 360,208,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,748,084 : 167,348,610 = 167,348,610 : x
  2. Step 2: Convert to fraction form
    77,748,084/167,348,610 = 167,348,610/x
  3. Step 3: Cross multiply
    77,748,084x = 167,348,610 × 167,348,610
  4. Step 4: Simplify right side
    77,748,084x = 28,005,557,268,932,100
  5. Step 5: Solve for x
    x = 28,005,557,268,932,100/77,748,084
  6. Step 6: Final answer
    x = 360,208,970.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.