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Finding the Third Proportional to 207,630,796.50 and 450,908,812.13

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Solution

The third proportional to 207,630,796.50 and 450,908,812.13 is: 979,232,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630,796.50 : 450,908,812.13 = 450,908,812.13 : x
  2. Step 2: Convert to fraction form
    207,630,796.50/450,908,812.13 = 450,908,812.13/x
  3. Step 3: Cross multiply
    207,630,796.50x = 450,908,812.13 × 450,908,812.13
  4. Step 4: Simplify right side
    207,630,796.50x = 203,318,756,851,978,560
  5. Step 5: Solve for x
    x = 203,318,756,851,978,560/207,630,796.50
  6. Step 6: Final answer
    x = 979,232,176.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.