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Finding the Third Proportional to 100,581,615 and 153,795,714.75

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Solution

The third proportional to 100,581,615 and 153,795,714.75 is: 235,163,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581,615 : 153,795,714.75 = 153,795,714.75 : x
  2. Step 2: Convert to fraction form
    100,581,615/153,795,714.75 = 153,795,714.75/x
  3. Step 3: Cross multiply
    100,581,615x = 153,795,714.75 × 153,795,714.75
  4. Step 4: Simplify right side
    100,581,615x = 23,653,121,875,463,368
  5. Step 5: Solve for x
    x = 23,653,121,875,463,368/100,581,615
  6. Step 6: Final answer
    x = 235,163,472.72

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Why These Related Problems?

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