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Finding the Third Proportional to 70,598,849 and 152,541,712

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Solution

The third proportional to 70,598,849 and 152,541,712 is: 329,594,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,598,849 : 152,541,712 = 152,541,712 : x
  2. Step 2: Convert to fraction form
    70,598,849/152,541,712 = 152,541,712/x
  3. Step 3: Cross multiply
    70,598,849x = 152,541,712 × 152,541,712
  4. Step 4: Simplify right side
    70,598,849x = 23,268,973,899,890,944
  5. Step 5: Solve for x
    x = 23,268,973,899,890,944/70,598,849
  6. Step 6: Final answer
    x = 329,594,238.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.