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Finding the Third Proportional to 143,248,176 and 306,917,383.50

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Solution

The third proportional to 143,248,176 and 306,917,383.50 is: 657,587,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,248,176 : 306,917,383.50 = 306,917,383.50 : x
  2. Step 2: Convert to fraction form
    143,248,176/306,917,383.50 = 306,917,383.50/x
  3. Step 3: Cross multiply
    143,248,176x = 306,917,383.50 × 306,917,383.50
  4. Step 4: Simplify right side
    143,248,176x = 94,198,280,294,486,080
  5. Step 5: Solve for x
    x = 94,198,280,294,486,080/143,248,176
  6. Step 6: Final answer
    x = 657,587,991.17

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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.