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Finding the Third Proportional to 200,360,682.75 and 306,499,637.25

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Solution

The third proportional to 200,360,682.75 and 306,499,637.25 is: 468,864,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360,682.75 : 306,499,637.25 = 306,499,637.25 : x
  2. Step 2: Convert to fraction form
    200,360,682.75/306,499,637.25 = 306,499,637.25/x
  3. Step 3: Cross multiply
    200,360,682.75x = 306,499,637.25 × 306,499,637.25
  4. Step 4: Simplify right side
    200,360,682.75x = 93,942,027,634,381,584
  5. Step 5: Solve for x
    x = 93,942,027,634,381,584/200,360,682.75
  6. Step 6: Final answer
    x = 468,864,581.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.