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Finding the Third Proportional to 146,493,519,127 and 314,183,188,926

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Solution

The third proportional to 146,493,519,127 and 314,183,188,926 is: 673,825,550,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493,519,127 : 314,183,188,926 = 314,183,188,926 : x
  2. Step 2: Convert to fraction form
    146,493,519,127/314,183,188,926 = 314,183,188,926/x
  3. Step 3: Cross multiply
    146,493,519,127x = 314,183,188,926 × 314,183,188,926
  4. Step 4: Simplify right side
    146,493,519,127x = 98,711,076,203,710,602,280,960
  5. Step 5: Solve for x
    x = 98,711,076,203,710,602,280,960/146,493,519,127
  6. Step 6: Final answer
    x = 673,825,550,727.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.