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Finding the Third Proportional to 207,630,774.56 and 450,908,764.88

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Solution

The third proportional to 207,630,774.56 and 450,908,764.88 is: 979,232,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630,774.56 : 450,908,764.88 = 450,908,764.88 : x
  2. Step 2: Convert to fraction form
    207,630,774.56/450,908,764.88 = 450,908,764.88/x
  3. Step 3: Cross multiply
    207,630,774.56x = 450,908,764.88 × 450,908,764.88
  4. Step 4: Simplify right side
    207,630,774.56x = 203,318,714,241,098,048
  5. Step 5: Solve for x
    x = 203,318,714,241,098,048/207,630,774.56
  6. Step 6: Final answer
    x = 979,232,075.16

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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.